Regular black holes and topology change

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 55, Issue 12, 1997, Pages 7615-7617

  Borde, Arvind ^a  

^a TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000732743     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.55.7615     Document Type: Article

References (33)

1. M. Mars, M. M. Martín-Prats, and J. M. M. Senovilla, Class. Quantum Grav. 13, L51 (1996).
2. The weak energy condition requires that the energy density of matter be non-negative, when measured by any observer.
3. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime (Cambridge University Press, Cambridge, England, 1973).
4. J. Bardeen, in Proceedings of GR5, Tiflis, USSR, 1968 (unpublished).
5. A Cauchy hypersurface, S, is a hypersurface from which the behavior of at least a portion of the entire spacetime can be predicted. This portion of the spacetime is called the Cauchy development of S. If the Cauchy development is, in fact, the full spacetime, S is called a global Cauchy hypersurface.
6. The strong energy condition requires that certain combinations of the components of the stress-energy tensor of matter be non-negative. The condition holds in most spacetimes of interest, but is violated, for example, in inflating spacetimes.
7. A. Borde, Phys. Rev. D 50, 3392 (1994).
8. A. Borde, Ph.D. dissertation, SUNY at Stony Brook, 1982.
9. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Lett. B 216, 272 (1989).
10. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Rev. D 41, 383 (1990).
11. C. Barrabès and V. P. Frolov, Phys. Rev. D 53, 3215 (1996).
12. R. Penrose, Phys. Rev. Lett. 14, 57 (1965).
13. A slice is an edgeless, achronal hypersurface, where the defining property of an achronal set is that no two points on it can be connected by a timelike curve.
14. I am grateful to Tom Roman for pointing this out.
15. F. J. Tipler, J. Diff. Eq. 30, 165 (1978).
16. F. J. Tipler, Phys. Rev. D 17, 2521 (1978).
17. G. Galloway, Manuscripta Math. 35, 209 (1981).MSMHB2
18. T. Roman, Phys. Rev. D 33, 3526 (1986);
19. 37, 546 (1988).
20. A. Borde, Class. Quantum Grav. 4, 343 (1987).
21. T. Roman and P. G. Bergmann, Phys. Rev. D 28, 1265 (1983).
22. D. Garfinkle (unpublished).
23. A. Borde and A. Vilenkin, Phys. Rev. Lett. 72, 3305 (1994).
24. A. Borde and A. Vilenkin, in Relativistic Astrophysics: The Proceedings of the Eighth Yukawa Symposium, edited by M. Sasaki (Universal Academy Press, Japan, 1995).
25. My attention was drawn to this aspect to Gödel’s solution in 1982 by Roger Penrose.
26. A. Borde, Syracuse University report, 1987 (unpublished);(Formula presented) by Example (Academic, Cambridge, MA, 1992), Example V.
27. R. P. A. C. Newman, Gen. Relativ. Gravit. 21, 981 (1989).GRGVA8
28. R. P. Geroch, J. Math. Phys. (N.Y.) 8, 782 (1967).
29. R. P. Geroch, Ph.D. dissertation, Princeton University, 1968.
30. F. J. Tipler, Ph.D. dissertation, University of Maryland, 1976.
31. F. J. Tipler, Ann. Phys. (N.Y.) 108, 1 (1977).APNYA6
32. F. J. Tipler, Phys. Lett. 165B, 67 (1985).
33. A. Borde, report, 1996 (unpublished).