Hamiltonian formalism for the Oppenheimer-Snyder model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 6, 1998, Pages

  Casadio, R ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039956082     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.064013     Document Type: Article

References (22)

1. P. Hajicek and J. Kijowski, Phys. Rev. D 57, 914 (1998).PRVDAQ
2. J. Kijowski, Gen. Relativ. Gravit. 29, 307 (1997).GRGVA8
3. P. Hajicek, Phys. Rev. D 57, 936 (1998).PRVDAQ
4. K. Kuchař, Phys. Rev. D 50, 3961 (1994).PRVDAQ
5. J. R. Oppenheimer and H. Snyder, Phys. Rev. 56, 455 (1939).PHRVAO
6. F. Lund, Phys. Rev. D 8, 3253 (1973).PRVDAQ
7. Y. Peleg, Phys. Lett. B 356, 462 (1995).PYLBAJ
8. R. Casadio and G. Venturi, Class. Quantum Grav. 13, 2715 (1996).CQGRDG
9. R. C. Tolman, Proc. Natl. Acad. Sci. USA 20, 169 (1934).PNASA6
10. W. Israel, Nuovo Cimento B 44, 1 (1966).NIFBAP
11. B. S. DeWitt, Phys. Rev. 160, 1113 (1967).PHRVAO
12. J. A. Wheeler, in Batelle Rencontres: 1967 Lectures in Mathematics and Physics, edited by C. DeWitt and J. A. Wheeler (Benjamin, New York, 1968).
13. R. Casadio, F. Finelli, and G. Venturi, “Adiabatic invariant treatment of a collapsing sphere of quantized dust,” gr-qc/9706074, 1997.
14. P. Hajicek, Nucl. Phys. B (Proc. Suppl.) 57, 115 (1997).NPBSE7
15. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).
16. We do not enforce the conservation of matter proper energy a priori.
17. In principle one can define a comoving frame which is not time orthogonal, but this would lead to unnecessary complications, such as the need for a nonvanishing radial lapse function.
18. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
19. H. Stephani, General Relativity (Cambridge University Press, Cambridge, England, 1990).
20. C. Bertoni, F. Finelli, and G. Venturi, Class. Quantum Grav. 13, 2375 (1996).CQGRDG
21. M. S. Madsen, Class. Quantum Grav. 5, 627 (1988).CQGRDG
22. J. V. Narlikar, Introduction to Cosmology (Cambridge University Press, Cambridge, England, 1993).