FI41

Project title: RELATIVITA' GENERALE HAMILTONIANA E GRAVITAZIONE

This research project explores in a systematic way all the aspects
of the theory of constraints. By using the Shanmugadhasan canonical
transformations, we are able to re-express all the physically
relevant models, the standard model of elementary particles
included, in terms of canonical bases of gauge invariant Dirac
observables (the physical degrees of freedom) on arbitrary Cauchy
simultaneity surfaces (parametrized Minkowski theories) and then on
the Wigner hyper-planes orthogonal to the conserved 4-momentum
(rest-frame instant form of dynamics). The same results have been
recently obtained in metric and tetrad gravity with a clarification
of a) the chrono-geometrical structure of special and general
relativity; b) the meaning of space-time and of evolution in
Einstein general relativity for the class of
Christodoulou-Klainermann space-times; c) the fact that the
admissible notions of synchronization of distant clocks and of
instantaneous 3-spaces are dynamically determined by the solutions
of Einstein's equations in the Hamiltonian formulation; d) how to
get a background-independent description of post-Minkowskian
gravitational physics.

Now there is a well defined scenario, with all the conceptual
problems clarified, for space-times suitable to the solar systems
and our galaxy (not yet to cosmology). This allows to study in a
unified way: a) space experiments (clock synchronization with highly
precise cold atom laser cooled clocks for the ESA ACES mission); b)
background-independent post-Minkowskian gravitational waves from
compact binaries made of perfect fluids (avoiding the post-Newtonian
approximation); c) Einstein's deviations from the Kepler virial
theorem used for the rotation curves of galaxies and implying the
existence of dark matter; d) the coordinate and Newton constant
dependence of the weak ADM energy density; e) the post-Minkowskian
2-body problem in general relativity; f) strong field
post-Minkowskian approximations of the Lichnerowicz equation, maybe
with Hamiltonian numerical gravity, to find Einstein's deviations
from Newton law in non-post-Newtonian regimes; g) the gauge
invariant coordinate- and background-independent Bergmann
observables for the gravitational field; h) the
background-independent unification of the gravitational field and
elementary particles; i) a new quantization scheme for canonical
gravity in which the gauge variables (inertial effects) are not
quantized.


\medskip


Key Words: Special relativity, canonical gravity, gravitational
waves, Hamiltonian numerical gravity, gravito-magnetism, space
navigation and clock synchronization, Dirac constraints, Hamiltonian
field theory, field quantization on curved hyper-surfaces

Convener: Luca Lusanna

Sites: Firenze Lecce Parma Torino 
International collaborations: Univ. Tennessee USA (Crater) Univ. Columbia, Missouri, USA (Mashhoon) Villanova Univ. PA, USA (Jantzen) Istituto Suprior Tecnico Lisbona, Portugal (Picken) Steklov Math.Institute, Moscow (Chekhov) Dip. Mat.,Trento Univ. (Moretti) Dip.Mat., Torino Univ. (Fatibene, Mercadante) Dip.Fis., Napoli Univ. (Capozziello)

Participants

Firenze

Name Position INFN Position Time percentage Comments
Donato Bini Ricercatore Scientifica Dipendenti altri enti 50
Nakia Carlevaro Dottorando Scientifica Dottorandi, Borse non INFN e Assegni 100
David Alba Borse UE 100
Giorgio Longhi Prof. Ordinario Incarico di Ricerca 100
Luca Lusanna Dirigente di Ricerca Tempo Indeterminato 100

Lecce

Name Position INFN Position Time percentage Comments

Parma

Name Position INFN Position Time percentage Comments
Roberto Depietri Ricercatore Scientifica Universita' 20
Massimo Pauri Prof. Emerito Incarico di Ricerca 100

Torino

Name Position INFN Position Time percentage Comments
Jeanette Ethel Nelson Prof. Associato Incarico di Ricerca 100

Scientific project

Sezione di Firenze



David Alba will join again the collaboration from July 1, 2007, with
a fellowship of the Cassa di Risparmio di Firenze.




1) Post-Minkowskian background-independent Grassmann-regularized
2-body problem in tetrad gravity in the weak approximation (Alba and
Lusanna).

2) Determination of the deviation from the keplerian results for the
rotation curves of galaxies implied by Einstein's general
relativity: how much of dark matter is coming from inertial effects?
Start with the post-newtonian solution of Einstein's equation used
to describe gravity in the solar system (Alba and Lusanna).

3) Use of the instantaneous 3-space dynamically determined by the
post-Newtonian solution of Einstein's equations given in IAU2000 for
the synchronization of the high precision atomic clocks on the space
station and on Earth for the ACES mission of ESA: deviations from
Einstein convention, gravitational redshift, light deflection,
luminosity distance (Alba, Bini and Lusanna).

4) Relativistic formulation and quantization of atomic physics in
Minkowski space-time for the development of a relativistic theory of
entanglement (Crater, Lusanna and Pauri).

5) Numerical relativity formulation of the harmonic gauges of
canonical gravity (DePietri and Lusanna).

6) Hamiltonian formulation of the Weyl scalars of the Newman-Penrose
formalism and search of the scalar Bergmann observables of tetrad
gravity (Lusanna, Pauri, Fatibene and Mercadante).

7) Search of the ADM pseudo energy-momentum tensor for the
gravitational field and its reformulation as a viscous fluid with a
non-definite positive pressure field: gravitational energy as a
possible source of dark energy (Lusanna, Capozziello, Fatibene and
Mercadante).

8) Way out from the Torre-Varadarajan no-go theorem, forbidding a
unitary evolution in the Tomonaga-Schwinger formalism in
non-inertial frames of Minkowski spacetime already for the free
Klein-Gordon field (Lusanna and Moretti).

9) Relativistic orbit theory for N-body systems: description of an
accelerated relativistic harmonic oscillator interacting with a
third body (Lusanna and Pauri).

10) Killing vectors in special (electromagnetic field) and general
relativity (gravitational field): only inertial effects survive,
because the radiation degrees of freedom become expressible in terms
of them (Bini and Lusanna).

11) Dirac observables for the classical Nambu string (Crater, Longhi
and Lusanna).








Sezione di Parma

Massimo Pauri, Roberto De Pietri and Luca Lusanna plan to study the
canonical formulation of ADM tetrad gravity that allows the
identification of York canonical bases in presence of matter. The
use of the York canonical bases gives the possibility of separating
the tidal effect of the gauge variable and interpreting this as an
inertial effect in an arbitrary non-global non-inertial reference
frame. The purpose is to find a weak-field limit for the two-body
problem without the introduction of a background field, and to
determine a relativistic generalization of the quadrupole emission
formula with re-summation of the post-Newtonian effects. The
possibility of using this Hamiltonian formulation in numerical
simulations will be investigated.



Sezione di Torino

Nelson will continue her research into quantum general relativity in
3 and 4 dimensions, with special emphasis on the following topics:

a) Continuation of the collaboration with Picken (Lisbona) on the
quantization of holonomies on Riemann surfaces, in particular
generalisation of the quantum Goldman bracket to arbitrary (higher
genus) surfaces.

b) Continuation of the collaboration with Chekhov and Regge on the
large genus limit of Nelson-Regge algebras using fat graphs.





Sezione di Lecce

Ciufolini si dedichera' completamente agli aspetti sperimetali
(LARES) per la rivelazione del gravitomagnetismo.

Activity

Sezione di Firenze



A) General Relativity

A review of the chrono-geometrical structure of special and general
relativity has been done by Lusanna for the Karpacz Winter
School.

Lusanna and Pauri have used Dirac theory of constraints to study
the Hamiltonian formulation of metric and tetrad gravity in a class
of globally hyperbolic, asymptotically flat space-times containing
the Christodoulou - Klainermann ones admitting radar 4-coordinates
centered on an arbitrary time-like observer (global non-inertial
frames allowed by the equivalence principle). They have clarified
how to make the separation between Dirac's observables (the physical
tidal degrees of freedom of the gravitational field) and gauge
variables (describing generalized relativistic inertial effects).
They have shown that in general relativity each solution of
Einstein's equations identifies a dynamical convention for the
synchronization of clocks (Cauchy surface as a dynamical
instantaneous 3-space) and that it is possible to make a physical
identification of the point-events of space-time. As a consequence
Einstein's Hole Argument is shown to be nothing else that a
byproduct of the Dirac Hamiltonian gauge freedom of general
relativity: gravitational field and space-time are two aspects of
the same entity. Moreover it turns out that every gauge for the
description of a solution of Einstein's equations has an associated
non-commutative structure, probably relevant for a future attempt to
define a quantum space-time.


Alba and Lusanna have found the York map for canonical metric and
tetrad gravity clarifying the Hamiltonian formulation of the
York-Lichnerowicz conformal approach and the interpretation of the
gauge variables as inertial effects. In particular the momentum
conjugate to the conformal factor of the 3-metric coincides with the
trace of the extrinsic curvature and it is the gauge variable
determining the convention for clock synchronization, i.e. the
determination of the instantaneous 3-space. Lusanna exposed these
results at the J.Archibald Wheeler school on Astrophysical
Relativity in Erice.



Bini and Lusanna have made a review of the spin-rotations couplings
in special and general relativity in both the 3+1 and 1+3 points of
views for the Festschrift for B.Mashhoon.



An invitation to understand better Einstein's geometrical view of
the gravitational field as an alternative to effective field
theories, where gravity is reduced to a linearized spin 2 theory on
a fixed background space-time has been made by Lusanna.







Bini has studied the following problems:

a) studied the Frenet-Serret formalism extended to null curves and
has done applications of it to massless spinning particles. Moreover
the formalism has been discussed in the Newman-Penrose framework.

b) studied the precession of spin (with respect to various
geometrically motivated frames) according to the Papapetrou model
for massive particles moving along circular orbits in space-times
with black holes.

c) studied one definition of "strain" in general relativity showing
that it is well posed geometrically and dependent upon the choice of
the observer and of the associated frame.

d) studied static perturbations of the Riessner-Nordstrom solution
for a massive charged black hole created by a massive charged test
particle and was able to rebuild the perturbed metric completely.



B) Special Relativity

The 3+1 point of view, based on gauge equivalent clock
synchronization conventions,has been developed by Alba and Lusanna
in the framework of the rest-form instant of dynamics by using radar
4-coordinates.

The general theory of relativistic orbits in the rest-frame instant
form of dynamics has been developed by Alba, Crater and Lusanna,
with a clarification of the role of the potentials appearing in the
Lorentz boosts.

The multi-temporal quantization of scalar and spinning particles in
a family of non-inertial frames with admissible differentially
rotating coordinates has been made by Alba and Lusanna to
understand the description of the spectra of bound systems in
non-inertial frames. Essentially the transition from inertial to
non-inertial frames is realized with a time-dependent unitary
transformation. Alba has then studied the non relativistic limit,
recovering the few known results of non-relativistic non-inertial
quantum mechanics as particular cases of the approach.\medskip

A review of the developments in the understanding aspects of
relativistic kinematics like the center of mass, rotational
properties and multipolar expansions of extended system has been
made by Alba, Lusanna and Pauri.




C) Mathematical Physics

A review of Dirac's theory of constraints has been given by Lusanna,
in which the relevance of canonical transformations adapted to the
constraints in gauge theories and general relativity is underlined.
Mathematicians are invited to make rigorous the existing heuristic
statements about canonical transformations in classical field
theory.





Sezione di Parma


The activity of Massimo Pauri in collaboration with Luca Lusanna is
covert on the Firenze part of this description. Roberto De Pietri
concentrated on the study of dynamical instability of rapidly
polytropic stellar models. The main results found are: i) the
precise determination of the threshold for the onset of the
instability and its dependence on the compactness of the stellar
models; ii) that the bar-mode deformation induced by the instability
is not persistent in the dynamical time scale and that this non
persistence is mainly determined by the dynamics of odd-modes; iii)
that, in same case, also odd-mode may become dynamically unstable.





Sezione di Torino

Nelson continued her study of general relativity and its
quantization in 3 and 4 dimensions, and generalised holonomy
quantization.

In particular, she works (with Picken) on the generalized
quantization of holonomies in (2+1)-dimensions. A new group
structure has been determined which shows explicitly two forms of
non commutativity, with four articles published (one in 2005). It
was shown recently, using constant matrix--valued connections to
generate a $q$--deformed representation of the fundamental group,
that signed area phases relate the quantum matrices assigned to
homotopic loops. As a consequence a quantum version of the Goldman
bracket is obtained.

With Chekhov and Regge the infinite genus limit of the algebra of
observables of (2+1)-dimensional gravity was studied, with one
article published. It was shown that the geodesic observables
satisfy a simple string-like (or CFT-like) representation in terms
of free fields.

In July 2006, Nelson attended the conference MG11 in Berlin, and in
2007 attended the meeting "Giornate di Fisica Teorica" at Vietri.
She visited Picken in Lisbon, and Picken visited Torino. She will
attend the conference GR18 in Sydney, Australia in July 2007.







Sezione di Lecce

Ciufolini non presenta pubblicazioni teoriche perche' troppo
assorbito dagli aspetti sperimentali (LARES) della rivelazione del
gravitomagnetismo.

Publications

Sezione di Firenze

1) L.Lusanna, "The Chrono-geometrical structure of special and
general relativity: A Re-visitation of canonical geometrodynamics",
lectures at the 42nd Karpacz Winter School of Theoretical Physics:
"Current Mathematical Topics in Gravitation and Cosmology", Ladek,
Poland, 6-11 Feb 2006, Int. J. Geometric Methods in Modern Physics
{\bf 4}, 1 (2007) (gr-qc/0604120).


2) L.Lusanna and M.Pauri, "The Physical Role of Gravitational and
Gauge Degrees of Freedom in General Relativity. I: Dynamical
Synchronization and Generalized Inertial Effects", Gen.Rel.Grav. 38,
187 (2006) (gr-qc/0403081).

3) L.Lusanna and M.Pauri, "The Physical Role of Gravitational and
Gauge Degrees of Freedom in General Relativity. II: Dirac versus
Bergmann Observables and the Objectivity of Space-Time",
Gen.Rel.Grav. 38, 229 (2006) (gr-qc/0407007).

4) L.Lusanna and M.Pauri, "Explaining Leibniz equivalence as
difference of non-inertial Appearances: Dis-solution of the Hole
Argument and physical individuation of point-events", Studies in
History and Philosophy of Modern Physics 37, 692 (2006)
(gr-qc/0604087).

5) L.Lusanna, "An invitation to the geometric view of space-time",
in "Sense of Beauty in Physics", a volume in honour of Adriano Di
Giacomo, eds. M.D'Elia, K.Konishi, E.Meggiolaro and P.Rossi
(Edizioni Plus, Pisa University Press, Pisa, 2006).

6) D.Alba and L.Lusanna, "Quantum Mechanics in Non-Inertial Frames
with a Multi-Temporal Quantization Scheme: I) Relativistic
Particles", Int.J.Mod.Phys. A21, 2781 (2006) (hep-th/0502060).

7) D.Alba, "Quantum Mechanics in Non-Inertial Frames with a
Multi-Temporal Quantization Scheme: II) Non-Relativistic Particles",
Int.J.Mod.Phys. A21, 3917 (2006) (hep-th/0504060).

8) D.Alba, L.Lusanna and M.Pauri, "New Directions in
Non-Relativistic and Relativistic Rotational and Multipole
Kinematics for N-Body and Continuous Systems", in "Atomic and
Molecular Clusters: New Research", ed.Y.L.Ping (Nova Science, New
York, 2006) (hep-th/0505005).

9) L.Lusanna, "The relevance of canonical transformations in gauge
theories and general relativity", Lecture Notes of "Seminario
Interdisciplinare di Matematica" 5, 125 (2006) (Dipartimento di
Matematica dell'Universita' della Basilicata).

10) G.Longhi, "Locality Hypothesis and the Speed of Light",
Found.Phys.Lett. 19, 201 (2006) (gr-qc/0610053).

11) Ferrarese G. and Bini D., "Compatibility of physical frames in
relativity", Rendiconti del Circolo Matematico di Palermo, serie II,
Suppl. 78, 97-110, (2006).

12) Bini D., Geralico A., Jantzen R.T., "Frenet-Serret formalism for
null world lines", Classical and Quantum Gravity, vol. 23,
3963-3981, (2006).

13) Bini D., Cherubini C., Geralico A., Jantzen R.T., "Massless
spinning test particles in vacuum algebraically special spacetimes",
Int. J, Mod. Phys. D, vol. 15, 737-758, (2006).

14) Bini D., de Felice F., Geralico A., Jantzen R.T., "Spin
precession along circular orbits in the Kerr spacetime: the
Frenet-Serret description", Classical and Quantum Gravity, vol. 23,
3287-3304, (2006).

15) Bini D., Cherubini C., Filippi S., "Heat transfer in
FitzHugh-Nagumo models", Phys. Rev. E, vol. 74 , 041905, 2006.
(paper selected for the "Virtual Journal of Biological Physics
Research" (Ottobre 2006), of the American Physical Society and the
American Institute of Physics in cooperation with numerous other
societies and publishers.)

16) Bini D., de Felice F., Geralico A., "Strains in General
Relativity", Classical and Quantum Gravity, vol. 23 7603-7626,
(2006).

17) Bini D., Geralico A., Ruffini R. J., "Charged massive particle
at rest in the field of a Reissner-Nordstr\"om black hole", Phys.
Rev. D, 75, 044012, (2007).

18) Bini D., Geralico A., Ruffini R. J., "On the equilibrium of a
charged massive particle in the field of a Reissner-Nordstr\"om
black hole", Phys, Lett. A, vol. 360, 515-517, (2007).

Previous years

1) D.Bini, L.Lusanna and B.Mashhoon, "Limitations of
Radar Coordinates", Int.J.Mod.Phys. D8, 1413 (2005)
(gr-qc/0409052).

2)J.Agresti, R.De Pietri, L.Lusanna and L.Martucci, Hamiltonian
Linearization of the Rest Frame Instant Form of Tetrad Gravity in
a Completely Fixed 3-Orthogonal Gauge: A Radiation Gauge for
Background-Independent Gravitational Waves in a Post-Minkowskian
Einstein Space-Time, Gen.Rel.Grav. 36, 1055-1134 (2004)
(gr-qc/0302084).

3)L.Lusanna, The Chrono-Geometrical Structure of Special and General
Relativity: towards a Background-Independent Description of the
Gravitational Field and Elementary Particles, invited paper for
the book "Progress in General Relativity and Quantum Cosmology
Research" (Nova Science) (gr-qc/0404122).

4) L.Lusanna, "General Covariance and its Implications for
Einstein's Space-Times", talk at ERE2005 "A Century of
Relativistic Physics", Oviedo 2005 and at QG05 "Constrained
Dynamics and Quantum Gravity 05", Cala Gonone (Sardinia) 2005
(gr-qc/0510024).

5) D.Alba, L.Lusanna and M.Pauri, "Multipolar Expansions
for Closed and Open Systems of Relativistic Particles", J.
Math.Phys. 46, 062505, 1-36 (2004) (hep-th/0402181).

6) D.Alba and L.Lusanna, "Generalized Eulerian Coordinates for Relativistic
Fluids: Hamiltonian Rest-Frame Instant Form, Relative Variables,
Rotational Kinematics", Int.J.Mod.Phys. A19, 3025 (2004)
(hep-th/020903).


7) D.Bini, "Taub-NUT spinless particles and Schwarzschild spinning particles", Il Nuovo Cimento B120, 1021-1025, (2005).

8) C.Cherubini, D.Bini, M.Bruni and Z.Perjes, "The Speciality Index as invariant indicator in the BKL mixmaster dynamics", Classical and Quantum Gravity, 22, 1763-1768, (2005) (gr-qc/0408040).

9) D.Bini, F. de Felice, A.Geralico, and A.Lunari, "Spinning test particles in Weyl spacetimes", J. Phys. A: Math. Gen. 38, 1163-1186, (2005).

10) D.Bini, C.Cherubini and B.Mashhoon, "Inertial effects of an accelerating black hole", in "General Relativity and Gravitational Physics", Proceedings of the XVI Conference of the Italian Society for General Relativity and Gravitation (SIGRAV), Vietri sul Mare (SA), September 13-16, 2004, Eds. G. Esposito, G. Lambiase, G. Marmo, G. Scarpetta, G. Vilasi, AIP Conference Proc., vol. 751, 37-45, (2005).

11) D.Bini, F.De Paolis, A.Geralico, G.Ingrosso and A.Nucita, "Periastron shift in Weyl class spacetimes", General Relativity and Gravitation, 37, 1263-1276, (2005) (gr-qc/0502062).

12) D.Bini, C.Cherubini, A.Geralico and B.Mashhoon, "Spinning particles in the vacuum C metric", Classical and Quantum Gravity, 22, 709-722, (2005)(gr-qc/0411098).

13) D.Bini, F.de Felice and A.Geralico, "Charged spinning particles on circular orbits in the Reissner-Nordstr\"om spacetime", International Journal of Modern Physics D14, 1793-1811, (2005).

14) D.Bini, F.de Felice, A.Geralico and R.T.Jantzen, "Spin precession in the Schwarzschild spacetime: circular orbits", Classical and Quantum Gravity, 22, 2947-2970, (2005).

15) D.Bini, A.Geralico and R.T.Jantzen, "Kerr metric, static observers and Fermi coordinates", Classical and Quantum Gravity, 22, 4729-4742, (2005).

16) D.Bini, C.Cherubini, S.Filippi and A.Geralico, "C metric: the equatorial plane and Fermi coordinates", Classical and Quantum Gravity, 22, 5157-5168, (2005).

17) G.Ferrarese and D.Bini, "Compatibility of physical frames in relativity", Rendiconti del Circolo Matematico di Palermo, serie II, Suppl. 78, 97-110, (2006).

18) D.Bini, A.Geralico and R.T.Jantzen, "Frenet-Serret formalism for null world lines", Classical and Quantum Gravity, 23, 3963-3981, (2006).

19) D.Bini, F.de Felice, A.Geralico and R.T.Jantzen, "Spin precession along circular orbits in the Kerr spacetime: the Frenet-Serret description", Classical and Quantum Gravity, 23, 3287-3304, (2006).

20) Bini D., de Felice F., Geralico A., Lunari A., Spinning test particles in Weyl spacetimes, J. Phys. A: Math. Gen. 38, 1163-1186, 2005.

21) B.Punsly and D.Bini, The Origins of Causality Violations in Force
Free Simulations of Black Hole Magnetosphere, Astrophys.J. 601,
L135-L138 (2004) (astro-ph/0312421).


22) D.Bini, R.T.Jantzen , Inertial forces: the special relativistic
assessment in "Relativity in Rotating Frames (Relativistic physics
in rotating reference frames) Ed. by G. Rizzi and M.L. Ruggiero
Kluwer Academic Press, Fundamental Theories of Physics, vol 135,
221-239, 2004

23) D.Bini, C.Cherubini, R.T.Jantzen and G.Miniutti, The Simon and
Simon-Mars Tensors for Stationary Einstein-Maxwell Fields,
Class.Quant.Grav. 21, 1987-1998 (2004) (gr-qc/0403022).

24) Cherubini C., Bini D., Bruni M., Perjes Z., Petrov classification of perturbed spacetimes: the Kasner example, Classical and Quantum Gravity, vol. 21, 4833-4843, 2004. E-print: gr-qc/0404075

25) Bini D., Cherubini C., Mashhoon B., Spin, acceleration and Gravity, Classical and Quantum Gravity, vol. 21, 3893-3908, 2004. E-print: gr-qc/0406061

26) Bini D., Cherubini C., Cruciani G., Jantzen R.T., Geometric transport along circular orbits in stationary axisymmetric spacetimes, International Journal of Modern Physics D vol. 13, No. 9 (2004) 1771-1803. E-print: gr-qc/0407004

27) Bini D., de Felice F., Geralico A., Spinning test particles and clock effect in Schwarzschild spacetime, Classical and Quantum Gravity, vol. 21, 5427-5439, 2004.

28) Bini D., de Felice F., Geralico A., Spinning test particles and clock effect in Kerr spacetime, Classical and Quantum Gravity, vol. 21, 5441-5456, 2004.

29) Bini D., Jantzen R.T., Stationary spacetimes and the Simon tensor, Il Nuovo Cimento B, vol. 119, 863-873, 2004 Proceedings of the International Conference in Honor of Y. Choquet-Bruhat, Analysis, Manifolds, and Geometric Structures in Physics" Hotel Cala di Mola Porto Azzurro - Isola d'Elba June 24th-26th, 2004. gr-qc/0411051.


Sezione di Parma

1) M.Pauri (2006). "La Questione della oggettivita' dello
spazio-tempo: un excursus da Parmenide ad Albert Einstein". Nuova
Civilta' delle Macchine, vol. Anno XXIV - N.3 (94), pp. 36-69 ISSN:
1970-9714.

2) M.Dorato and M.Pauri (2006). "Holism and Structuralism in
Classical and Quantum General Relativity". In: D.Rickles, S.French,
and J.T.Saatsi eds. "The Structural Foundations of Quantum Gravity".
(vol. Chapter V, pp. 121-151). ISBN: 0199269696. (Also in
Pittsburgh-Archive, ID code 1606, February 10 2005). OXFORD:
Clarendon Press (UNITED KINGDOM).


3) L. Baiotti, R. De Pietri, G. M. Manca and L. Rezzolla, "Accurate
simulations of the dynamical barmode instability in full General
Relativity", Phys. Rev. D 75, 044023 (2007) (astro-ph/0609473).

4) R. De Pietri, S. Mori and E. Onofri, "The planar spectrum in
U(N)-invariant quantum mechanics by Fock space methods: I. The
bosonic case", JHEP01, 018 (2007) (hep-th/0610045).


5) G. M. Manca, L. Baiotti, R. De Pietri and L. Rezzolla, "Dynamical
non-axisymmetric instabilities in rotating relativistic stars",
Class. Quantum Grav. 24, S171-S186 (2007) (arXiv:0705.1826).

6) R. De Pietri, L. Baiotti, G. M. Manca, L. Rezzolla, "Accurate
simulations of the barmode instability in General Relativity", in "A
Century of Relativity Physics": ERE 2005; XXVIII Spanish Relativity
Meeting", Lysiane Mornas and Joaquin Diaz Alonso Eds., Oviedo
(Asturias) Spain, September 6-10, 2005. AIP Conference Proceedings
Volume 841, pp 416-419. ISBN: 0-7354-0333-3.

Previous years

1) A. Nagar, J.A. Font, O. Zanotti and R. De Pietri, "Gravitational waves from oscillating accretion tori: Comparison between different approaches", Phys. Rev. D 72, 024007 (2005) (gr-qc/0506070).

2) V.A. Fateev, R. De Pietri, E. Onofri, "Exact and semiclassical approach to a class of singular integral operators arising in fluid mechanics and quantum field theory." J. Phys. A: Math. Gen. 37 (2004) 11379-11389. math-ph/0407021


Sezione di Torino


1) L.Chekhov, J.E.Nelson and T.Regge, "Extension of geodesic
algebras to continuous genus" , Lett.Math.Phys. {\bf 78} 1, (2006)
17-26 (gr-qc/0510119).
(http://www.springerlink.com/content/r6l1j36918616847fulltext.pdf)

2) J.E.Nelson and R.F. Picken, "Quantum holonomies in
2+1--dimensional gravity" (gr-qc/0408082), pp 2281-2285, in
Proceedings of the Tenth Marcel Grossmann Meeting on General
Relativity, Rio de Janeiro July 2003, edited by M. Novello, S.
Perez-Bergliaffa and R. Ruffini, (World Scientific, Singapore,
2006). SPIRES Conf Num: C03/07/20.1

3) J.E.Nelson, "Some Applications of the ADM formalism'' pp
193--206, in Deserfest: A celebration of the life and works of
Stanley Deser, Ann Arbor, Michigan, April 2004, edited by James T
Liu, Michael J Duff, Kellogg S Stelle and Richard P Woodard (World
Scientific 2006), (gr-qc/0408083), SPIRES Conf Num: C04/04/03.2

4) Editors J.E.Nelson et al, "Constrained Dynamics and Quantum
Gravity 2005", Proceedings, Cala Gonone, Sardinia 2005, in the IOP
Journal of Physics: Conference Series (2006). (SPIRES Conf Num:
C05/09/12.1).

previous years

1) J.E.Nelson and R.F. Picken, "Constant connections, quantum holonomies and the Goldman bracket", Adv. Theor. Math. Phys. 9 (2005) 407-433. (math-ph/0412007).

2)J.E.Nelson, Global Constants in (2+1)-Dimensional Gravity, Class.Quantum Grav. 21, S249-S260 (2004) (gr-qc/0304040).

3)J.E.Nelson and R. F. Picken ``Quantum holonomies in 2+1--dimensional gravity'', gr-qc/0408082, in Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, Rio de Janeiro July 2003, edited by M. Novello, S. Perez-Bergliaffa and R. Ruffini, World Scientific, Singapore, 2005.

4)J.E.Nelson ``Some Applications of the ADM formalism'', gr-qc/0408083, to appear in Deserfest: A celebration of the life and works of Stanley Deser, Ann Arbor, Michigan, April 2004, (World Scientific 2005).

5)J.E.Nelson and R. F. Picken ``Classical and quantum geometry of moduli spaces in three-dimensional gravity'', math-ph/0501051, invited talk (and refereed article), to appear in proceedings of the XIII Fall Workshop on Geometry and Physics, Murcia (Spain) September 2004, Publ. de la RSME (Spanish Royal Mathematical Society) Vol. XX (2005), 2-12.



Sezione di Lecce

1)I. Ciufolini, et al., "Determination of Frame–Dragging Using Earth’s Gravity Models From Champ and Grace", New Astronomy, 11, 527-550 (2006).

2)I. Ciufolini and E. Pavlis, "On the Measurement of the Lense-Thirring effect using the nodes of the LAGEOS satellites, New Astronomy, 10, 636-651 (2005).

3)D. Lucchesi, I. Ciufolini, et al., "LAGEOS II Perigee Rate and Eccentricity Vector Excitation Residuals and the Yarkovsky-Schach Effect", Planetary and Space Science, 52, 699, 2004.

4)L. Iorio and I. Ciufolini, et al., "On the possibility of measuring the Lense–Thirring effect with a LAGEOS–LAGEOS II–OPTIS–mission", Classical and Quantum Gravity, 21, 2139 2004.

5) I. Ciufolini, "Frame-Dragging”, Plenary talk at the X Marcel Grossmann meeting on General Relativity, Rio de Janeiro, Brasil, 2003. World Scientific, Singapore (2004).

6) I. Ciufolini, "Frame-Dragging and Lense-Thirring Effect", J. General Relativity and Gravitation, 36, 2373-2415 (2004).

7) C. Laemmerzahl, I Ciufolini et al. “OPTIS – An Einstein mission for Improved Tests of Special and General Relativity” J. General Relativity and Gravitation, 36, 2257-2270 (2004).

8) I. Ciufolini, "Frame-Dragging and Its Measurement" I SIGRAV School on General Relativity, Villa Mondragone Monte Porzio Catone, Roma, Italy September, 2002. Institute of Physics Publishing, 27, 2004. Invited (Plenary).

9) D. Lucchesi, I. Ciufolini, et al., "LAGEOS II perigee rate and eccentricity vector excitations residuals and the Yarkovsky–Schach effect", Planetary and Space Science 52, 699-710 (2004).

10) L. Iorio, I. Ciufolini et al. "On the possibility of measuring the Lense–Thirring effect with a LAGEOS–LAGEOS II–OPTIS–mission", Classical and Quantum Gravity, 21, 2139-2151 (2004).

11) I. Ciufolini "Frame-Dragging and the LARES/WEBER-SAT project", Proceedings of Frontier Science 2004, Physics and Astrophysics in Space, Frascati, Italy 2004, p. . Invited.

12) I. Ciufolini, E. Pavlis and R. Peron, "Determination of Frame–Dragging Using the New Earth’s Gravity Models From CHAMP and GRACE", New Astronomy, 2005, p. .

13) I. Ciufolini, "Frame-Dragging”, Proceedings of X Marcel Grossmann meeting on General Relativity, Rio de Janeiro, Brasil, 2003. World Scientific, Singapore. Invited (Plenary). 2005, p. .

14) I. Ciufolini and E. Pavlis, "A confirmation of the general relativistic prediction of the Lense–Thirring effect", Letters to Nature, 431, 958-960 (2004).

Talks

Sezione di Firenze

1) L.Lusanna, "General covariance and its implications for
Einstein's space-times", talk given at 4th Meeting on Constrained
Dynamics and Quantum Gravity (QG05), Cala Gonone, Sardinia, Italy,
12-16 Sep 2005. Published in J.Phys.Conf.Ser.33, 107-117 (2006)
(gr-qc/0510024).

2) L.Lusanna, "The objectivity of space-time: Dirac observables and
gauge variables for the gravitational field", prepared for 28th
Spanish Relativity Meeting (ERE05): "A Century of Relativity
Physics|, Oviedo, Asturias, Spain, 6-10 Sep 2005; published in AIP
Conf.Proc.841, 330-339 (2006).

3)L.Lusanna, "Relativistic effects and non inertial frames", course
at the SIGRAV Graduate School on "Experimental Gravitation in
Space", Galileo Galilei Institute, Arcetri, Firenze (Italy),
September 25-27, 2006, (electronic proceedings at
$http://www.fi.infn.it/GGI-grav-space/egs_s.htm$).

4) L.Lusanna, "The York Map and the Role of Non-Inertial Frame in
the Geometrical View of the Gravitational Field", talk at the
International School on "Astrophysical Relativity" John Archibald
Wheeler, Erice, June 1-7, 2006.



Sezione di Parma

1) M.PAURI (2007). Time, Physics, and Freedom: at the Roots of
Contemporary Nihilism. A Brief Introduction. Gennaio 2007. Talk for
the 2007 Entretiens of the Acade'mie Internationale de Philosophie
des Sciences; Cerisy, France: "Le Temps dans les diffe'rent
approaches scientifiques".

2) R.De Pietri, "Accurate simulations of the dynamical BAR-mode
instability in General relativity", Eleventh Marcel Grossmann
Meeting on General Relativity, at the Freie Universität Berlin: July
23 - 29, 2006.

3) R.De Pietri, "Accurate simulations of the dynamical BAR-mode
instability in General relativity", XVII SIGRAV Conference, Torino,
September 4-7, 2006.

4) R. De Pietri, ``Bar-mode instability in full GR'', Problemi
Attuali di Fisica Teorica, Tredicesima Edizione, Vietri sul Mare
(SA) 30 Marzo - 4 Aprile 2007.


Theses

Sezione di Firenze


Tesi di I livello 2006: Paolo Da Vela, La sincronizzazione di
orologi a terra e su satellite in gravita' post-newtoniana, relatore
Luca Lusanna




Sezione di Parma


Dottorato di ricerca in Fisica:

Gian Mario Manca (DOT XIX).
Supervisore: Dr. Roberto De Pietri
Titolo: ``Dynamical instabilities in rapidly rotating
neutron star models''
Discussione 9 marzo 2007

Laurea Vecchio Ordinamento (Fisica):

Lorenza Sarti, 19 aprile 2006
``Analisi on-line in simulazioni numeriche di stelle
di neutroni in relativita' generale''
Relatore: Dr. Roberto De Pietri
Anno accademico 2004/2005

Laurea Triennale Nuovo Ordinamento (Fisica):

Fabio Sassi, 18 aprile 2007
``Determinazione nuymerice dei modi quasi
normali di oscillazione in elativita' genenerale''
Relatore: Dr. Roberto De Pietri
Anno accademico 2005/2006



Other publications

Sezione di Firenze

1) L.LUSANNA and M.PAURI: "Dynamical Emergence of Instantaneous
3-Spaces in a Class of Models of General Relativity" in the book
RELATIVITY AND DIMENSIONALITY OF THE WORLD, V.Petkov ed. (Springer
Verlag 2007) (gr-qc/0611045, also in Pittsburgh Archive: IDcode:
3032).





2) D.Alba and L.Lusanna, "The York Map as a Shanmugadhasan Canonical
Transformation in Tetrad Gravity and the Role of Non-Inertial Frames
in the Geometrical View of the Gravitational Field", submitted to
Gen.Rel.Grav. (gr-qc/0604086).

3) D.Alba and L.Lusanna, "Generalized Radar 4-Coordinates and
Equal-Time Cauchy Surfaces for Arbitrary Accelerated Observers"
(2005), to appear in Int.J.Mod.Phys. D (gr-qc/0501090).


4) D.Alba, H.W.Crater and L.Lusanna, "Hamiltonian Relativistic
Two-Body Problem: Center of Mass and Orbit Reconstruction", to
appear in J.Phys. A (gr-qc/0610200)

5) D.Bini and L.Lusanna, "Spin-rotation couplings: spinning test
particles and Dirac field", for the Festschrift of B.Mashhoon
(2007).






Sezione di Parma


1) M.Pauri (2006). "Weak Objectivity of Space-Time", XVII SIGRAV
Conference on General Relativity (Italian Society of Gravitational
Physics). Torino, September, 4-7, 2006. (pp. 1-45).

2) M.Pauri (2006). "Dis-solution of Einstein's "Hole Argument", and
the Weak Objectivity of Space-Time", in "Physics Meets Philosophy at
Every Scale". October 13-14, 2006. (pp. 73-105). (Proceedings in
fase di sistemazione)

3) M.Pauri (2006). "Realta' e/o oggettivita' dello Spazio-Tempo. Il
Realismo Scientifico di Evandro Agazzi". November 17, 2006. (pp.
1-24). In corso di pubblicazione in "Festschrift in onore dei 70
anni di Evandro Agazzi" - Presidenza del Consiglio dei Ministri -
Poligrafico e Zecca dello Stato.

4) M.Pauri, "IL Quanto, il Tutto e le Parti: Crisi dell'atomismo e
spazio-temporalità- I: l'oggetto dissolto", in corso di
pubblicazione (sttembre 2007) sulla rivista EPISTEMOLOGIA

5) M.Pauri, "IL Quanto, il Tutto e le Parti: Crisi dell'atomismo e
spazio-temporalità- II: Verso una ristrutturazione dei concetti di
spazio e di tempo", in corso di pubblicazione sulla rivista
EPISTEMOLOGIA

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