Black hole entropy from loop quantum gravity

Physical Review Letters

Volumn 77, Issue 16, 1996, Pages 3288-3291

  Rovelli, Carlo ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243378975     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.77.3288     Document Type: Article

References (50)

1. J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973)
2. S. W. Hawking, Nature (London) 248, 30 (1974).
3. R. M. Wald, Quantum Field Theory on Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994). NATUAS
4. G. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2752 (1977)
5. W. H. Zurek and K. S. Thorne, Phys. Rev. Lett. 54, 2171 (1985)
6. L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, Phys. Rev. D 34, 373 (1987)
7. R. M. Wald, Phys. Rev. D 48, R3427 (1993)
8. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993)
9. J. D. Bekenstein, Report No. gr-qc/9409015
10. R. D. Sorkin, Report No. gr-qc/9508002
11. G. Lifschytz and M. Ortiz, Report No. hep-th/9510115
12. F. Larsen and F. Wilczek, Phys. Lett. B 375, 37 (1996)
13. A. Strominger and C. Vafa, Report No. hep-th/9601029
14. G. Horowitz and A. Strominger, Report No. hep-th/9602051. PYLBAJ
15. C. Rovelli and L. Smolin, Phys. Rev. Lett. 61, 1155 (1988)
16. C. Rovelli and L. Smolin, Nucl. Phys. B331, 80 (1990).
17. C. Rovelli, Class. Quantum Gravity 8, 1613 (1991)
18. A. Ashtekar, in Gravitation and Quantization, Les Houches 1992, B. Julia and J. Zinn-Justin (Elsevier, Paris, 1995)
19. L. Smolin, in Quantum Gravity and Cosmology, edited by J. Perez-Mercader, J. Sola, and E. Verdaguer (World Scientific, Singapore, 1992). CQGRDG
20. C. Rovelli and L. Smolin, Nucl. Phys. B442, 593 (1995)
21. A. Ashtekar and J. Lewandowski, Report No. gr-qc/9602046
22. L. Lenher, S. Frittelli, and C. Rovelli, “The Complete Spectrum of the Area in Loop Quantum Gravity,” Pitt University, 1996 (to be published)
23. R. Loll, Phys. Rev. Lett. 75, 3048 (1995)
24. R. Loll, Nucl. Phys. B460, 143 (1996). NUPBBO
25. R. DePietri and C. Rovelli, Phys. Rev. D 54, 2664 (1996). PRVDAQ
26. J. W. York, Phys. Rev. D 28, 2929 (1983). PRVDAQ
27. D. Christodoulou, Phys. Rev. Lett. 25, 1596 (1970)
28. D. Christodoulou and R. Ruffini, Phys. Rev. D 4, 3552 (1971). PRVDAQ
29. G't Hooft, Report No. gr-qc/9402037
30. L. Susskind, Report No. hep-th/9309145
31. L. Susskind, L. Thorlacius, and J. Uglum, Phys. Rev. D 48, 3743 (1993)
32. C. Teitelboim, Report No. hep-th/9510180
33. A. Buonanno, M. Gattobigio, M. Maggiore, L. Pilo, and C. Ungarelli, Nucl. Phys. B451, 677 (1995). NUPBBO
34. M. Maggiore, Nucl. Phys. B429, 205 (1994). NUPBBO
35. K. Thorne, R. H. Price, and D. A. Macdonald, Black Holes: The Membrane Paradigm (Yale University Press, New Haven, 1986).
36. D. Carlip, Phys. Rev. D 51, 632 (1995) Report No. gr-qc/9606043.
37. A. P. Balachandran, L. Chandar, and A. Momen, Nucl. Phys. B461, 581 (1996) Report No. gr-qc/9512047. NUPBBO
38. S. Hawking, Commun. Math. Phys. 25, 152 (1972). CMPHAY
39. C. Rovelli, Black Hole Entropy from Loops?, seminar at the Center for Gravitation and Geometry, Penn State University, November 1995 (unpublished).
40. C. Isham, Report No. gr-qc/9510063
41. C. Rovelli and L. Smolin, J. Math. Phys. (N.Y.) 36 (1995). JMAPAQ
42. C. Rovelli and L. Smolin, Phys. Rev. D 52, 5743 (1995). PRVDAQ
43. A. Ashtekar, C. Rovelli, and L. Smolin, Phys. Rev. Lett. 69, 237 (1992). PRLTAO
44. A. Ashtekar (private communication).
45. K. Krasnov, Report No. gr-qc/9603025
46. K. Krasnov, Report No. gr-qc/9605047.
47. C. Rovelli, Class. Quantum Gravity 10, 1549, 1567 (1993)
48. A. Connes and C. Rovelli, Class. Quantum Gravity 11, 2899 (1994). CQGRDG
49. S. Frittelli, C. N. Kozameh, E. T. Newman, C. Rovelli, and R. S. Tate, Report No. gr-qc/9603061.
50. T. Jacobson, seminar at the Schrödinger Institute, Vienna, July 1996 (unpublished).