Proof of classical versions of the Bousso entropy bound and of the generalized second law

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 8, 2000, Pages 1-11

  Flanagan, Eanna E ^a   Marolf, Donald ^b,c   Wald, Robert M ^d  

^a Department of Obstetrics Gynecology   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c SYRACUSE UNIVERSITY   (United States)

^d UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144419305     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.084035     Document Type: Article

References (37)

1. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973); 23, 287 (1981); 49, 1912 (1994).
2. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973); 23, 287 (1981); 49, 1912 (1994).
3. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973); 23, 287 (1981); 49, 1912 (1994).
4. W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982).
5. W.G. Unruh and R.M. Wald, Phys. Rev. D 27, 2271 (1983).
6. M.A. Pelath and R.M. Wald, Phys. Rev. D 60, 104009 (1999).
7. J.D. Bekenstein, Phys. Rev. D 60, 124010 (1999).
8. J.D. Bekenstein and M. Schiffer, Int. J. Mod. Phys. C 1, 355 (1990); J.D. Bekenstein, Phys. Rev. D 30, 1669 (1984).
9. J.D. Bekenstein and M. Schiffer, Int. J. Mod. Phys. C 1, 355 (1990); J.D. Bekenstein, Phys. Rev. D 30, 1669 (1984).
10. G. 't Hooft, in Quantum Gravity: proceedings, edited by M.A. Markov, V.A. Berezin, and V.P Frolov (World Scientific, Singapore, 1988); J.D. Bekenstein, in Proceedings of the VII Marcel Grossman Meeting on General Relativity V, edited by R.T. Jantsen and G.M. Keiser (World Scientific, Singapore, 1996), p. 39; gr-qc/9409015; L. Smolin, gr-qc/9508064; S. Corley and T. Jacobson, Phys. Rev. D 53, 6720 (1996).
11. G. 't Hooft, in Quantum Gravity: proceedings, edited by M.A. Markov, V.A. Berezin, and V.P Frolov (World Scientific, Singapore, 1988); J.D. Bekenstein, in Proceedings of the VII Marcel Grossman Meeting on General Relativity V, edited by R.T. Jantsen and G.M. Keiser (World Scientific, Singapore, 1996), p. 39; gr-qc/9409015; L. Smolin, gr-qc/9508064; S. Corley and T. Jacobson, Phys. Rev. D 53, 6720 (1996).
12. G. 't Hooft, in Quantum Gravity: proceedings, edited by M.A. Markov, V.A. Berezin, and V.P Frolov (World Scientific, Singapore, 1988); J.D. Bekenstein, in Proceedings of the VII Marcel Grossman Meeting on General Relativity V, edited by R.T. Jantsen and G.M. Keiser (World Scientific, Singapore, 1996), p. 39; gr-qc/9409015; L. Smolin, gr-qc/9508064; S. Corley and T. Jacobson, Phys. Rev. D 53, 6720 (1996).
13. L. Susskind, J. Math. Phys. 36, 6377 (1995).
14. J.D. Bekenstein, Phys. Lett. B 481, 339 (2000).
15. R.M. Wald, "The Thermodynamics of Black Holes," gr-qc/9912119.
16. J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974).
17. G. 't Hooft, "Dimensional reduction in quantum gravity," gr-qc/9310026.
18. R. Bousso, J. High Energy Phys. 07, 004 (1999).
19. R. Bousso, J. High Energy Phys. 06, 028 (1999).
20. W. Fischler and L. Susskind, "Holography and cosmology," hep-th/9806039.
21. For other comments on extensions of the original Fischler-Susskind bound [15], see R. Dawid, "Holographic Cosmology and its Relative Degrees of Freedom," hep-th/9907115.
22. R.M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).
23. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
24. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
25. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
26. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
27. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
28. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
29. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
30. W. Zurek, Phys. Rev. Lett. 49, 1683 (1982); W.H. Zurek and K.S. Thorne, ibid. 54, 2171 (1985); K.S. Thorne, W.H. Zurek, and R.H. Price, in Black Holes: The Membrane Paradigm, edited by K.S. Thorne, R.H. Price and D.A. MacDonald (Yale University Press, New Haven, CT, 1986) p. 280; W.G. Unruh and R.M. Wald, Phys. Rev. D 25, 942 (1982); 27, 2271 (1983); correction: M.J. Radzikowski and W.G. Unruh, ibid. 37, 3059(E) (1988); R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994); R. Sorkin, Phys. Rev. Lett. 56, 1885 (1986); V.P. Frolov and D.N. Page, ibid. 71, 3902 (1993).
31. David A. Lowe, J. High Energy Phys. 010, 026 (1999).
32. L.H. Ford and T.A. Roman, Phys. Rev. D 51, 4277 (1995).
33. L.H. Ford and T.A. Roman, Phys. Rev. D 55, 2082 (1997).
34. É.É. Flanagan, Phys. Rev. D 56, 4922 (1997).
35. C.J. Fewster and S.P. Eveson, Phys. Rev. D 58, 084010 (1998).
36. L.H. Ford and T.A. Roman, Phys. Rev. D 60, 104018 (1999).
37. R.M. Zalaletdinov, Bull. Astron. Spc. India 25, 401 (1997).