Publications Luca Bombelli

1. L Bombelli, R K Koul, J Lee and R D Sorkin, "Quantum source of entropy for black holes,'' Phys. Rev. D 34 (1986) 373-383.

2. P O Mazur and L Bombelli, "Stationary axisymmetric Kaluza-Klein black hole,'' J. Math. Phys. 28 (1987) 406-409.

3. L Bombelli, R K Koul, G Kunstatter, J Lee and R D Sorkin, "On energy in five-dimensional gravity and the mass of the Kaluza-Klein monopole,'' Nucl. Phys. B 289 (1987) 739-756.

4. A Ashtekar, L Bombelli and R K Koul, "Phase space formulation of general relativity without a 3 + 1 splitting,'' in The Physics of Phase Space, eds Y S Kim and W W Zachary, Springer-Verlag 1987, pp 356-359.

5. L Bombelli, J Lee, D Meyer and R D Sorkin,
(a) "Space-time as a causal set,'' Phys. Rev. Lett. 59 (1987) 521-524;
(b) "Reply to a comment by C Moore,'' Phys. Rev. Lett. 60 (1988) 656.

6. L Bombelli and T Wyrozumski, "The Bogolubov group and quantisation of scalar fields,'' Class. Quantum Grav. 6 (1989) 919-932.

7. L Bombelli and D A Meyer, "The origin of Lorentzian geometry,'' Phys. Lett. A 141 (1989) 226-228; this paper received an honorable mention from the Gravity Research Foundation in 1989.

8. L Bombelli and R J Torrence, "Perfect fluids and Ashtekar variables, with applications to Kantowski-Sachs models,'' Class. Quantum Grav. 7 (1990) 1747-1765.

9. A Ashtekar, L Bombelli and O Reula, "The covariant phase space of asymptotically flat gravitational fields,'' in Mechanics, Analysis and Geometry: 200 Years after Lagrange, ed M Francaviglia, North-Holland 1991, pp 417-450.

10. L Bombelli, W E Couch and R J Torrence, "Wake-free waves in one and three dimensions,'' J. Math. Phys. 32 (1991) 106-108.

11. L Bombelli, W E Couch and R J Torrence, "Time as spacetime four-volume and the Ashtekar variables,'' Phys. Rev. D 44 (1991) 2589-2592.

12. L Bombelli, "Unimodular relativity, general covariance, time, and the Ashtekar variables,'' in Gravitation: A Banff Summer Institute, eds R B Mann and P Wesson, World Scientific 1991, pp 221-232.

13. L Bombelli, W E Couch and R J Torrence, "Solvable systems of wave equations and non-Abelian Toda lattices,'' J. Phys. A 25 (1992) 1309-1327.

14. L Bombelli, E Gunzig and A Nesteruk, "Renormalisation, the trace anomaly, and spacetime anisotropy,'' Class. Quantum Grav. 9 (1992) 2193-2202.

15. L Bombelli and E Calzetta, "Chaos around a black hole,'' Class. Quantum Grav. 9 (1992) 2573-2599.

16. L Bombelli, "Chaotic trajectories around a black hole,'' in Relativity Today: Proceedings of the Fourth Hungarian Relativity Workshop, eds R P Kerr and Z Perjés, Budapest: Akadémiai Kiadó 1994, pp 97-105.

17. L Bombelli, W E Couch and R J Torrence, "Perfect fluid perturbations of cosmological spacetimes in Stewart's variables,'' Class. Quantum Grav. 11 (1994) 139-155.

18. L Bombelli, "Perfect fluid perturbations of Robertson-Walker spacetimes,'' in Proceedings of the Journées Relativistes '93, eds F Englert et al, World Scientific 1994, pp 153-156; and Int. J. Mod. Phys. D 3 (1994) 153-156.

19. L Bombelli, "Particle motion around perturbed black holes: The onset of chaos'', in Deterministic Chaos in General Relativity (Kananaskis, Canada, July 1993), eds D Hobill, A Burd and A Coley, Plenum 1994, pp 145-154.

20. L Bombelli and S Sonego, "Relationships between various characterizations of wave tails,'' J. Phys. A 27 (1994) 7177-7199, and arXiv: math-ph/0002026.

21. L Bombelli, "Causal sets and the closeness of Lorentzian manifolds'', in Relativity in General (Spanish Relativity Meeting 1993), eds J Díaz Alonso and M Lorente Páramo, Éditions Frontières 1994, pp 249-253.

22. L Bombelli, M Castagnino and F Lombardo, "Chaos in Robertson-Walker cosmology,'' J. Math. Phys. 39 (1998) 6040-6050, and arXiv: gr-qc/9707051.

23. F Lombardo, M Castagnino and L Bombelli, "From decoherence to classical chaos in Robertson-Walker cosmology," Mod. Phys. Lett. A14 (1999) 539-547, and arXiv: gr-qc/9806101.

24. L Bombelli, "Statistical Lorentzian geometry and the closeness of Lorentzian manifolds,'' J. Math. Phys. 41 (2000) 6944-6958, and arXiv: gr-qc/0002053.

25. B Bolen, L Bombelli and R Puzio, "Expansion-induced contribution to the precession of binary orbits," Class. Quantum Grav. 18 (2001) 1173-1178, and arXiv: gr-qc/0009018.

26. L Bombelli, "Statistical geometry of random weave states", in Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, eds V G Gurzadyan, R T Jantzen and R Ruffini, World Scientific 2002, and arXiv: gr-qc/0101080.

27. L Bombelli and J Noldus, "The moduli space of isometry classes of globally hyperbolic spacetimes" arXiv: gr-qc/0402049, and Class. Quantum Grav. 21 (2004) 4429-4453.

28. L Bombelli and O Winkler "Comparison of QG-induced dispersion with standard physics effects" arXiv: gr-qc/0403049, and Class. Quantum Grav. 21 (2004) L89-L96.

29. B Bolen, L Bombelli and A Corichi "Semiclassical states in quantum cosmology: Bianchi I coherent states" arXiv: gr-qc/0404004, and Class. Quantum Grav. 21 (2004) 4087-4105.

30. L Bombelli, A Corichi and O Winkler, "Semiclassical quantum gravity: Statistics of combinatorial Riemannian geometries" arXiv: gr-qc/0409006, and Annalen der Physik 14 (2005) 499–519.

31. A Ashtekar, L Bombelli and A Corichi, "Semiclassical states for constrained systems" arXiv: gr-qc/0504052, and Phys. Rev. D 72: 025008 (2005).

32. L Bombelli and M Lorente "A combinatorial approach to discrete geometry" arXiv: gr-qc/0512142, to appear in the Proceedings of the XXVIII Spanish Relativity Meeting (ERE2005).

33. L Bombelli, J Henson and R D Sorkin "Discreteness without symmetry breaking: A theorem" arXiv: gr-qc/0605006.

34. R Sverdlov and L Bombelli "Gravity and matter in causal set theory" arXiv:0801.0240.

Papers in Preparation

L Bombelli, A Corichi and O Winkler, "Semiclassical Quantum Gravity: Statistics of Lie-Algebra Dressed Complexes".

L Bombelli and C Labuda, "Causality and dispersion relations".

L Bombelli and S Sonego, "Initial data, characteristics, and wave propagation''.

L Bombelli and K Rosquist, "Families of chaotic cosmologies''.

Conference Abstracts and Other Unpublished Work

1. T Bettinazzi, L Bombelli, C Meroni, F Ragusa and G Vegni, "Use of nuclear targets in FRAMM experiment. II: Hadron semicoherent interactions on carbon nuclei," CERN NA1/79/11 report, October 1979.

2. L Bombelli, Preparation of an Experiment on Semicoherent Scattering of Pions from Carbon Nuclei at the CERN SPS, undergraduate thesis, University of Milan, February 1980.

3. A Ashtekar, L Bombelli and R K Koul, "A Hamiltonian formulation of general relativity without a 3+1 splitting,'' 11th International Conference on General Relativity and Gravitation (GR11), Stockholm (Sweden), July 1986.

4. P O Mazur and L Bombelli, "Study of stationary axisymmetric black holes in Kaluza-Klein theory,'' 11th International Conference on General Relativity and Gravitation (GR11), Stockholm (Sweden), July 1986.

5. L Bombelli, Space-Time as a Causal Set, PhD thesis, Syracuse University, September 1987.

6. L Bombelli, J Lee, D A Meyer and R D Sorkin, "Space-time as a causal set,'' 12th International Conference on General Relativity and Gravitation (GR12), Boulder, CO, July 1989.

7. L Bombelli and R D Sorkin, "When are two Lorentzian metrics close?,'' 12th International Conference on General Relativity and Gravitation (GR12), Boulder, CO, July 1989.

8. L Bombelli, "When are two Lorentzian metrics close?,'' 6th Pacific Coast Gravity Meeting, Eugene, OR, March 1990.

9. L Bombelli, E Gunzig and A Nesteruk, "Some aspects of massless particle creation in isotropic and anisotropic spacetimes,'' Brussels RGGR report 1991.

10. L Bombelli and R D Sorkin, "When are two Lorentzian metrics close?'' preprint, 1995.

11. L Bombelli, M Castagnino and F Lombardo, "Chaos in Robertson-Walker cosmology," Fall 1996 SESAPS Meeting, Atlanta, Georgia.

12. L Bombelli and M Díaz, "About the evolution of degenerate metrics in the Ashtekar formalism,'' 15th International Conference on General Relativity and Gravitation (GR15), Pune, India, December 1997.

13. L Bombelli, "Statistical geometry of random weave states," Midwest Geometry Conference, University of Missouri-Columbia, November 1999.

14. L Bombelli, "Statistical geometry of random weave states," Midwest Relativity Meeting, University of Illinois at Urbana-Champaign, November 1999.

15. L Bombelli, "Statistical Lorentzian geometry and the space of Lorentzian metrics" Midwest Geometry Conference, Wichita State University, Kansas, April 2001.

16. A Ashtekar and L Bombelli, "Statistical geometry and semiclassical quantum gravity", preprint 2001.

17. L Bombelli, A Corichi and O Winkler, "A statistical geometry framework for the continuum approximation to quantum geometry," Loops and Spinfoams conference, CIRM, Marseille, May 2004.

18. L Bombelli, A Corichi and O Winkler, "Riemannian statistical geometry and semiclassical quantum gravity," 17th International Conference on General Relativity and Gravitation (GR17), Dublin 2004.

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