Black hole thermodynamics from quantum gravity

Nuclear Physics B

Volumn 486, Issue 1-2, 1997, Pages 131-148

  Lifschytz, Gilad ^a   Ortiz, Miguel ^b,c,d  

^a BRANDEIS UNIVERSITY   (United States)

^b TUFTS UNIVERSITY   (United States)

^c UTRECHT UNIVERSITY   (Netherlands)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Black hole; Entropy; Stretched horizon

Indexed keywords

EID: 0031575433     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00596-2     Document Type: Article

References (27)

1. [1] D. Christodoulou, Phys. Rev. Lett. 25 (1970) 1596.
2. [2] S. W Hawking, Phys. Rev. Lett. 26 (1971) 1344.
3. [3] J.W. Bardeen, B. Carter and S.W. Hawking, Comm. Math. Phys. 31 (1973) 161.
4. [4] J. Bekenstein, Phys. Rev. D 7 (1973) 2333.
5. [5] S.W. Hawking, Comm. Math. Phys. 43 (1975) 199.
6. [6] G.W. Gibbons and S.W. Hawking, Phys. Rev. D 15 (1977) 2752.
7. [7] G.W. Gibbons and M.J. Perry, Phys. Rev. Lett. 36 (1976) 985.
8. [8] J. Bekenstein, Do we understand black hole entropy?, plenary talk at the 7th Marcel Grossman meeting at Stanford University, 1994 (gr-qc/9409015).
9. [9] S.W. Hawking, in General Relativity: An Einstein Centenary Survey, ed. S.W. Hawking and W. Israel (Cambridge Univ. Press, Cambridge, 1979); S. Carlip and C. Teitelboim, Class. Quant. Grav. 12 (1995) 1699; S.W. Hawking and G.T. Horowitz, Class. Quant. Grav. 13 (1996) 1487.
10. [9] S.W. Hawking, in General Relativity: An Einstein Centenary Survey, ed. S.W. Hawking and W. Israel (Cambridge Univ. Press, Cambridge, 1979); S. Carlip and C. Teitelboim, Class. Quant. Grav. 12 (1995) 1699; S.W. Hawking and G.T. Horowitz, Class. Quant. Grav. 13 (1996) 1487.
11. [9] S.W. Hawking, in General Relativity: An Einstein Centenary Survey, ed. S.W. Hawking and W. Israel (Cambridge Univ. Press, Cambridge, 1979); S. Carlip and C. Teitelboim, Class. Quant. Grav. 12 (1995) 1699; S.W. Hawking and G.T. Horowitz, Class. Quant. Grav. 13 (1996) 1487.
12. [10] C. Teitelboim, Phys. Rev. D 51 (1995) 4315; S.W Hawking, G.T. Horowitz and S.F Ross, Phys. Rev. D 51 (1995) 4302.
13. [10] C. Teitelboim, Phys. Rev. D 51 (1995) 4315; S.W Hawking, G.T. Horowitz and S.F Ross, Phys. Rev. D 51 (1995) 4302.
14. [11] S.D. Mathur, Black Hole Entropy and the Semiclassical Approximation, (hep-th/9404135) (Invited Talk given at the International Colloquium on Modern Quantum Field Theory II at TIFR (Bombay), January 1994).
15. [12] E. Keski-Vakkuri, G. Lifschytz, S. Mathur and M.E. Ortiz, Phys. Rev. D 51 (1995) 1764.
16. [13] G. Lifschytz and M. Ortiz, Nucl. Phys. B 456 (1995) 337.
17. [14] G. 't Hooft, Nucl. Phys. B 256 (1985) 727; B 335 (1990) 138.
18. [14] G. 't Hooft, Nucl. Phys. B 256 (1985) 727; B 335 (1990) 138.
19. [15] Y. Kiem, H. Verlinde and E. Verlinde, Phys. Rev. D 52 (1995) 7053.
20. [16] B.S. DeWitt, Phys. Rep. 19C (1975) 297.
21. [17] D.N. Page, Phys. Rev. D 13 (1976) 198.
22. [18] J.B. Hartle and S.W. Hawking, Phys. Rev. D 13 (1976) 2188.
23. [19] C.G. Callan, S.B. Giddings, J.A. Harvey and A. Strominger, Phys. Rev. D 45 (1992) R1005.
24. [20] S.T Giddings, Quantum Mechanics of Black Holes. Lectures presented at the 1994 Trieste summer school in high energy physics an cosmology (hep-th/9412138).
25. [21] G. Lifschytz, S.D. Mathur and M. Ortiz, Phys. Rev. D 53 (1996) 766.
26. [22] L. Susskind, L. Thorlacius and J. Uglum, Phys. Rev. D 48 (1993) 3743; L. Susskind, Phys. Rev. D 49 (1994) 6606.
27. [22] L. Susskind, L. Thorlacius and J. Uglum, Phys. Rev. D 48 (1993) 3743; L. Susskind, Phys. Rev. D 49 (1994) 6606.