Optimal entropy bound and the self-energy of test objects in the vicinity of a black hole

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 10, 1999, Pages

  Mayo, Avraham E ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18144378424     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.104044     Document Type: Article

References (51)

1. J. D. Bekenstein, Phys. Rev. D 23, 287 (1981).
2. J. D. Bekenstein and M. Schiffer, Int. J. Mod. Phys. C 1, 355 (1990).
3. O. Zaslavskii, Class. Quantum Grav. 13, L7 (1996).
4. R. D. Sorkin, R. M. Wald, and Z. Z. Jiu, Gen. Relativ. Gravit. 13, 1127 (1981).
5. O. Zaslavskii, Phys. Lett. A 160, 339 (1991).
6. J. D. Bekenstein and A. E. Mayo, Phys. Rev. D (to be published), gr-qc/9903002.
7. O. Zaslavskii, Gen. Relativ. Gravit. 24, 973 (1992).
8. S. Hod, gr-qc/9901035.
9. J. D. Bekenstein, Phys. Rev. D 30, 1669 (1984).
10. J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).
11. J. D. Bekenstein, gr-qc/9808028.
12. D. Christodoulou, Phys. Rev. Lett. 25, 1596 (1970).
13. B. Carter, Phys. Rev. D 174, 1559 (1968).
14. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
15. R. Hojman and S. Hojman, Phys. Rev. D 15, 2724 (1977).
16. S. Hod, gr-qc/9903010
17. S. HodPhys. Rev. D (to be published), gr-qc/9903011.
18. B. Linet, gr-qc/9903064.
19. S. Droz, M. Heusler, and N. Straumann, Phys. Lett. B 268, 371 (1991)
20. M. Heusler, N. Straumann, and Z. H. Zhou, Helv. Phys. Acta 66, 614 (1993).
21. M. S. Volkov and D. V. Gal’tsov, JETP Lett. 50, 346 (1989)
22. P. Bizon, Phys. Rev. Lett. 64, 2844 (1990).
23. N. Bocharova, K. Bronnikov, and V. Melnikov, Vestn. Mosk. Univ., Fiz., Astron. 6, 706 (1970)
24. J. D. Bekenstein, Ann. Phys. (N.Y.) 82, 535 (1974)
25. Ann. Phys. (N.Y.)J. D. Bekenstein91, 75 (1975).
26. B. R. Greene, S. D. Mathur, and C. M. O’Neill, Phys. Rev. D 47, 2242 (1993).
27. O. Brodbeck and N. Straumann, Phys. Lett. B 324, 309 (1996)
28. O. BrodbeckN. StraumannJ. Math. Phys. 37, 1414 (1994)
29. N. E. Mavromatos and E. Winstanley, Phys. Rev. D 53, 3190 (1996)
30. N. Straumann and Z. H. Zhou, Phys. Lett. B 243, 33 (1991)
31. N. StraumannZ. H. ZhouNucl. Phys. B369, 180 (1991)
32. K. A. Bronnikov and Yu. N. Kireyev, Phys. Lett. 67A, 95 (1978).
33. L. Parker, Phys. Rev. D 7, 976 (1973), and references therein.
34. S. S. Schweber, H. A. Bethe, and F. De Hoffman, Mesons and Fields (Row Peterson, Evanston, 1955).
35. J. D. Bekenstein, Phys. Rev. D 9, 3292 (1974).
36. W. G. Unruh and R. M. Wald, Phys. Rev. D 25, 942 (1982).
37. J. D. Bekenstein, Phys. Rev. D 49, 1912 (1994).
38. M. A. Pelath and R. M. Wald, Phys. Rev. D 60, 104009 (1999)
39. J. D. Bekenstein, Phys. Rev. D (to be published), gr-qc/9906058.
40. A. Vilenkin, Phys. Rev. D 20, 373 (1979).
41. A. G. Smith and C. M. Will, Phys. Rev. D 22, 1276 (1980).
42. E. Copson, Proc. R. Soc. London, A118, 184 (1928).
43. B. Linet, C.R. Seances Acad. Sci., Ser. A 284, 215 (1977).
44. A. I. Zelnikov and V. P. Frolov, Sov. Phys. JETP 55, 191 (1982).
45. A. G. Wiseman (unpublished).
46. L. M. Burko (unpublished).
47. J. D. Bekenstein, in Black Holes, Gravitational Radiation and the Universe, edited by B. R. Iyer and B. Bhawal (Kluwer, Dordrecht, 1998)
48. A. E. Mayo, Phys. Rev. D 58, 104007 (1998).
49. B. Leaute and B. Linet, Gen. Relativ. Gravit. 17, 783 (1985).
50. J. S. Hadamard, Lectures on Cauchy’s Problem in Linear Partial Differential Equations (Dover, New York, 1952).
51. This solution can be easily found by the use of any computer environment for doing mathematics such as Mathematica.