Recent Publications


R. Canonico and L. Parisi
Stability of the Einstein Static Universe in open cosmological models
arXiv:1005.3673

S. Vilasi, R. Canonico, G. Sparano and G. Vilasi
Is the Light too light?
Journal of Geometry and Symmetry in Physics, vol. 19 (2010) 87-98

L. Vitagliano
The Lagrangian-Hamiltonian Formalism for Higher Order Fields Theories
J. Geom. Phys. 60 (2010) 857-873

L. Vitagliano
The Hamilton-Jacobi Formalism for Higher Order Field Theories
to appear in Int. J. Geom. Meth. Mod. Phys. 7 (2010)

Publications (2009)


R. Canonico, L. Parisi, G. Vilasi
Theoretical models for astrophysical objects and the Newman-Janis algorithm
Proceedings of the Eleventh International Conference on Geometry, Integrability and Quantization XI, Varna, Bulgaria (2009);

L. Vitagliano
Secondary Calculus and the Covariant Phase Space
J. Geom. Phys. 59 (2009) 426-447

G. Vilasi
Nambu Dynamics, N-Lie algebras and Integrability
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS 16 (2009) 77-91

Publications (2008)


L. Parisi
Dynamical Systems Techniques in Cosmology. An Example: LQC and the Einstein Static Universe
Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization X, Varna, Bulgaria (2008);
reprinted on JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS 14 (2009) 67–83

M. Astorino, F. Canfora, C. Martinez, L. Parisi
Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test
Physics Letters B, 664 (2008) 139-144.

Publications (2007)


L. Parisi, M. Bruni, R. Maartens, K. Vandersloot
The Einstein static universe in Loop Quantum Cosmology
Class. Quant. Grav. 24 (2007) 6243-6254

F. Canfora, L. Parisi, G. Vilasi
Nonlinear gravitational waves, their polarization and realistic sources
Theor. Math. Phys. 152(2) (2007) 1069–1080

G. Vilasi
Gravitational waves as exact solutions of Einstein field Equations.
JOURNAL OF PHYSICS. CONFERENCE SERIES, vol. 87 (2007) 012017-012028

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms: The Λk-1C-Spectral Sequence on Infinite Prolonged Equations,
Dokl. Math. 76, n° 2 (2007) 692-695

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms III: Integral Calculus
Dokl. Math. 75, n° 2 (2007) 177-180

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms: The Λk-1C-Spectral Sequence on Infinite Jets
Dokl. Math. 76, n° 2 (2007) 673-677

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms IV: C-Spectral Sequence
Dokl. Math. 75, n° 3 (2007) 403-406

Publications (2006)


F. Canfora
The High energy behavior of gravity at large N
Phys. Rev. D 74 (2006) 064020

F. Canfora, L. Parisi, G. Vilasi
Regge theory and statistical mechanics
Phys. Lett. B 638 (2006) 85-88

F. Canfora, L. Parisi, G. Vilasi
Spin-1 gravitational waves. Theoretical and Experimental Aspects
IJGMMP Vol.3, N.3 (2006) 451-469

F. Canfora, G. Vilasi
The Physical consequences of the holographic principle
IJGMMP Vol. 3, No. 3 (2006) 437-449

D. Catalano Ferraioli, A.M.Vinogradov
Ricci-flat 4-metrics with bidimensional null orbits.
Part 1: General and non-Abelian case

Acta Applicandae Mathematicae Vol. 92, N. 3 (2006)

A. Kyuldjiev, V. Gerdjikov, G. Marmo, G. Vilasi
On the Symmetries of the Manev problem and its real Hamiltonian form
Eighth Internatioanl Conference on Geometry, Integrabilitry, Quantization
 JUNE 9–14, 2006, Varna, Bulgaria (I. M. Mladenov and M. De Leon editors)  pp 1–14

G. Rotondaro, G. Sparano, G. vilasi
Geometrical aspects of mixed torsionless tensor fields
IJGMMP Vol. 3, No. 7 (2006) 1381-1394

A. M. Vinogradov, C. Di Pietro
A Spectral Sequence Associated with a Symplectic Manifold
Diffiety Institute preprint Series, DIPS-6/2006 (math.SG/0611138)

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms: Riemannian Geometry Revisited
Dokl. Math. 73, n° 2 (2006) 182-184

A. M. Vinogradov, L. Vitagliano
Iterated Differential Forms: Tensors
Dokl. Math. 73, n° 2 (2006) 169-17

Jorge Cortés, A. M. Vinogradov
Hamiltonian theory of constrained impulsive motion
J. Math. Phys. 47, 042905 (2006) 30

Publications (2005)


F.  Canfora
A Large N expansion for Gravity
Nuclear Physics B 731 (2005) 389-405

F. Canfora , G. Vilasi
PP-waves, Israel Matching conditions and BPS states in gravity
Class. Quantum Grav 22 (2005) 1193-1205

F.  Canfora
A note on tachyon dynamics
Phys. Lett. B 625 (2005) 277-284

F. Canfora , G.Vilasi
The Holographic Principle and the Early Universe
Phys. Lett. B 625 (2005) 171-176

F. Canfora, G. Vilasi
Does the Holographic Principle determine the Gravitational Interaction?
Phys. Lett. B 614 (2005) 131-139

F. Canfora
Hamilton-Jacobi equation and the breaking of the WKB approximation
Phys. Lett. B 610 (2005) 94-100

F. Canfora and G. Vilasi
Singular pp-waves, Junction conditions and BPS states
16th SIGRAV Conference on General Relativity and gravitational Physics AIP Conference Proceedings 751 (2005)

A. Kyuldjiev, V. Gerdjikov, G. Marmo, G. Vilasi
Manev Problem and its Real form Dynamics Superintegrability and symmetry algebras
Seventh Internatioanl Conference on Geometry, Integrabilitry, Quantization
June 2-10.2005, Varna, Bulgaria (I. M. Mladenov and M. De Leon editors)

Previous Publications


F. Canfora, G. Vilasi, P. Vitale
Spin-1 gravitational waves
Int. J. Mod. Phys. B 18 (4-5) (2004) 527-540

F. Canfora, G. Vilasi
Spin-1 gravitational waves and their natural sources
Phys. Lett. B 585 (2004) 193-199

F. Canfora, A. Troisi
Cosmological consequences of an inhomogeneous space-time
Gen. Relat. Gravit. 36 (2) (2004) 373-385

F. Canfora, G. Vilasi
Back Reaction from trace anomaly in RN-blackholes evaporation
JHEP 12 (2003) 55

D. Catalano Ferraioli, A.M.Vinogradov
Ricci-flat 4-metrics with bidimensional null orbits. Part 2: Abelian case
Diffiety Institute Preprint Series, DIPS-2/2004 (to appear in COMM. MATH. PHYSICS)

V.S. Gerdjikov, A. Kyuldjiev, G. Marmo, G. Vilasi
Real Hamiltonian forms of Hamiltonian systems
EUROPEAN PHYSICAL JOURNAL B 38 (4): 635-649 APR 2004

F. Canfora, G. Vilasi and P. Vitale
Nonlinear gravitational waves and their polarization
Phys. Lett. B 545 (2002) 373-378

G. Sparano, G. Vilasi and A. M. Vinogradov
Vacuum Einstein metrics with 2-dimensional Killing leaves. I-Local aspects
Diff. Geom. and its Appl. 16 (2002)95120
 
G. Sparano, G. Vilasi and A. M. Vinogradov
Vacuum Einstein metrics with 2-dimensional Killing leaves. II-Global aspects.
Diff. Geom. and its Appl. 17 (2002) 15-35

G. Vilasi and P. Vitale
On SO(2,1) symmetry in general relativity
Class. Quant. Grav. 19 (2002) 3333-3340

G. Vilasi
An integrable model in general relativity
Eur. Phys. J. B 29, 2 (2002) 207-210

G.Sparano, G. Vilasi and A. M. Vinogradov
Gravitational fields with a non Abelian 2-dimensional Lie algebra of symmetries
Phys. Lett B 513 (2001) 142-146

Books and Proceedings


V. S. Gerdjikov, G. Vilasi, A. B. Yanovski
Integrable Hamiltonian  Hierarchies
Lectures Notes in Physics 748, Berlin Sprinter Verlag (2008)

GENERAL RELATIVITY AND GRAVITATIONAL PHYSICS

Proceedings of 16th SIGRAV Conference on General Relativity and Gravitational
Edited by G. Vilasi, G. Esposito, G. Lambiase, G. Marmo, G. Scarpetta
Physics (SIGRAV04), Vietri sul Mare, Italy, 13-16 Sep 2004.
Published in AIP Conf. Proc. 751: 1-272, 2005

G. Vilasi
Hamiltonian Dynamics
World Scientific (2001)
     
A.M. Vinogradov
Introduction to cohomological analysis of partial differential equations and Secondary Calculus
Am. Math. Soc. Transl. of  Math. Monograph Serie, Providence, Rhode Island (2001).

J. Nestruev, A.M. Vinogradov
Smooth manifolds and observables
M.C.N.M.O., Moscow 2000  [English transl.  byAMS (2001)]