Entropy and temperature of black holes in a gravity's rainbow

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 74, Issue 4, 2006, Pages

  Galán, Pablo ^a   Mena Marugán, Guillermo A ^a  

^a INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748129994     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.74.044035     Document Type: Article

References (80)

1. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973); PRVDAQ 0556-2821 10.1103/PhysRevD.7.2333
2. J.D. Bekenstein Lett. Nuovo Cimento 4, 737 (1972); NCLTAX 0024-1318
3. J.D. Bekenstein Ph.D. thesis, Princeton University, 1972.
4. S. Hod, Phys. Rev. D 59, 024014 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.024014
5. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00345-0
6. C. Rovelli, Phys. Rev. Lett. 77, 3288 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.3288
7. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett. 80, 904 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.904
8. S.N. Solodukhin, Phys. Rev. D 51, 609 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.51.609
9. S.N. Solodukhin Phys. Rev. D 51, 618 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.51.618
10. S.N. Solodukhin Phys. Rev. D 57, 2410 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.2410
11. R.K. Kaul and P. Majumdar, Phys. Rev. Lett. 84, 5255 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.5255
12. A. Chatterjee and P. Majumdar, Phys. Rev. Lett. 92, 141301 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.141301
13. A. Chatterjee P. Majumdar Pramana 63, 851 (2004). PRAMCI 0304-4289
14. R.J. Adler, P. Chen, and D.I. Santiago, Gen. Relativ. Gravit. GRGVA8 0001-7701 33, 2101 (2001). 10.1023/A:1015281430411
15. P. Chen and R.J. Adler, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 124, 103 (2003). 10.1016/S0920-5632(03)02088-7
16. M. Cavaglia, S. Das, and R. Maartens, Classical Quantum Gravity CQGRDG 0264-9381 20, L205 (2003); 10.1088/0264-9381/20/15/101
17. M. Cavaglia and S. Das, Classical Quantum Gravity CQGRDG 0264-9381 21, 4511 (2004); 10.1088/0264-9381/21/19/001
18. A.J.M. Medved and E.C. Vagenas, Phys. Rev. D 70, 124021 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.124021
19. G. Amelino-Camelia, M. Arzano, and A. Procaccini, Phys. Rev. D 70, 107501 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.107501
20. G. Amelino-Camelia M. Arzano A. Procaccini Int. J. Mod. Phys. D 13, 2337 (2004). IMPDEO 0218-2718 10.1142/S0218271804006413
21. G. Amelino-Camelia, M. Arzano, Y. Ling, and G. Mandacini, Classical Quantum Gravity 23, 2585 (2006). CQGRDG 0264-9381 10.1088/0264-9381/23/7/022
22. Y. Ling, B. Hu, and X. Li, Phys. Rev. D 73, 087702 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.087702
23. Y. Ling, X. Li, and H. Zhang, gr-qc/0512084.
24. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.124021
25. J. Alfaro, H.A. Morales-Tecotl, and L.F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.2318
26. J. Alfaro H.A. Morales-Tecotl L.F. Urrutia Phys. Rev. D 65, 103509 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.103509
27. L. Smolin, Nucl. Phys. NUPBBO 0550-3213 B742, 142 (2006); 10.1016/j.nuclphysb.2006.02.017
28. L. Smolin hep-th/0209079.
29. J. Lukierski, A. Nowicki, and H. Ruegg, Phys. Lett. B 293, 344 (1992). PYLBAJ 0370-2693 10.1016/0370-2693(92)90894-A
30. G. Veneziano, Europhys. Lett. 2, 199 (1986); EULEEJ 0295-5075
31. D. Amati, M. Ciafaloni, and G. Veneziano, Phys. Lett. B 197, 81 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)90346-7
32. D. Amati M. Ciafaloni G. Veneziano Int. J. Mod. Phys. A 3, 1615 (1988). IMPAEF 0217-751X 10.1142/S0217751X88000710
33. D.J. Gross and P.F. Mende, Phys. Lett. B 197, 129 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)90355-8
34. D.J. Gross P.F. Mende Nucl. Phys. NUPBBO 0550-3213 B303, 407 (1988). 10.1016/0550-3213(88)90390-2
35. T. Yoneya, Mod. Phys. Lett. A 4, 1587 (1989); MPLAEQ 0217-7323 10.1142/S0217732389001817
36. K. Konishi, G. Paffuti, and P. Provero, Phys. Lett. B 234, 276 (1990); PYLBAJ 0370-2693 10.1016/0370-2693(90)91927-4
37. R. Guida, K. Konishi, and P. Provero, Mod. Phys. Lett. A 6, 1487 (1991). MPLAEQ 0217-7323 10.1142/S0217732391001603
38. S. Doplicher, K. Fredenhagen, and J.E. Roberts, Phys. Lett. B 331, 39 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90940-7
39. M. Maggiore, Phys. Lett. B 304, 65 (1993); PYLBAJ 0370-2693 10.1016/0370-2693(93)91401-8
40. M. Maggiore Phys. Rev. D 49, 5182 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.49.5182
41. F. Scardigli, Phys. Lett. B 452, 39 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(99)00167-7
42. R.J. Adler and D.I. Santiago, Mod. Phys. Lett. A 14, 1371 (1999). MPLAEQ 0217-7323 10.1142/S0217732399001462
43. G. Amelino-Camelia, J.R. Ellis, N.E. Navromatos, D.V. Nanopoulos, and S. Sarkar, Nature (London) 393, 763 (1998). NATUAS 0028-0836 10.1038/31647
44. G. Amelino-Camelia and T. Piran, Phys. Lett. B 497, 265 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(00)01337-X
45. G. Amelino-Camelia T. Piran Phys. Rev. D 64, 036005 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.036005
46. G. Amelino-Camelia, Phys. Lett. B 528, 181 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(02)01223-6
47. G. Amelino-Camelia Mod. Phys. Lett. A 17, 899 (2002). MPLAEQ 0217-7323 10.1142/S0217732302007612
48. S. Sarkar, Mod. Phys. Lett. A 17, 1025 (2002). MPLAEQ 0217-7323 10.1142/S0217732302007521
49. T. Jacobson, S. Liberati, and D. Mattingly, Phys. Rev. D 66, 081302 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.081302
50. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002). IMPDEO 0218-2718 10.1142/S0218271802001330
51. G. Amelino-Camelia, Phys. Lett. B 510, 255 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00506-8
52. J. Kowalski-Glikman, Phys. Lett. A 286, 391 (2001). PYLAAG 0375-9601 10.1016/S0375-9601(01)00465-0
53. N.R. Bruno, G. Amelino-Camelia, and J. Kowalski-Glikman, Phys. Lett. B 522, 133 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01264-3
54. J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.190403
55. J. Magueijo and L. Smolin, Phys. Rev. D 67, 044017 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.044017
56. J. Kowalski-Glikman and S. Nowak, Phys. Lett. B 539, 126 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02063-4
57. L.J. Garay, Int. J. Mod. Phys. A 10, 145 (1995); and references therein. IMPAEF 0217-751X 10.1142/S0217751X95000085
58. J. Magueijo and L. Smolin, Classical Quantum Gravity 21, 1725 (2004). CQGRDG 0264-9381 10.1088/0264-9381/21/7/001
59. P. Galán and G.A. Mena Marugán, Phys. Rev. D 70, 124003 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.124003
60. P. Galán and G.A. Mena Marugán, Phys. Rev. D 72, 044019 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.044019
61. D. Christodoulou, Phys. Rev. Lett. 25, 1596 (1970); PRLTAO 0031-9007 10.1103/PhysRevLett.25.1596
62. D. Christodoulou Ph.D. thesis, Princeton University, 1971;
63. D. Christodoulou and R. Ruffini, Phys. Rev. D 4, 3552 (1971). PRVDAQ 0556-2821 10.1103/PhysRevD.4.3552
64. J.D. Bekenstein, Phys. Rev. D 23, 287 (1981). PRVDAQ 0556-2821 10.1103/PhysRevD.23.287
65. S.W. Hawking, Commun. Math. Phys. CMPHAY 0010-3616 43, 199 (1975). 10.1007/BF02345020
66. S. Judes and M. Visser, Phys. Rev. D 68, 045001 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.045001
67. J. Lukierski, hep-th/0402117.
68. D. Kimberly, J. Magueijo, and J. Medeiros, Phys. Rev. D 70, 084007 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.084007
69. S. Mignemi, Phys. Rev. D 68, 065029 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.065029
70. F. Hinterleitner, Phys. Rev. D 71, 025016 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.025016
71. J.F. Barbero, G.A. Mena Marugán, and E.J.S. Villaseñor, Phys. Rev. D 67, 124006 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.124006
72. J.F. Barbero G.A. Mena Marugán E.J.S. Villaseñor Phys. Rev. D 69, 044017 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.044017
73. J. Hackett, Classical Quantum Gravity 23, 3833 (2006). CQGRDG 0264-9381 10.1088/0264-9381/23/11/010
74. L.J. Garay, J.R. Anglin, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 85, 4643 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.4643
75. U. Leonhardt and P. Piwnicki, Phys. Rev. Lett. 84, 822 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.822
76. G.E. Volovik, Phys. Rep. 351, 195 (2001); PRPLCM 0370-1573 10.1016/S0370-1573(00)00139-3
77. G.E. Volovik The Universe in a Helium Droplet (Oxford University Press, New York, 2003);
78. G.E. Volovik Artificial Black Holes, edited by, M. Novello,,, M. Visser,, and, G.E. Volovik, (World Scientific, Singapore, 2002);
79. C. Barceló, S. Liberati, and M. Visser, Living Rev. Relativity 1433-8351 8, 12 (2005).
80. L. Freidel, J. Kowalski-Glikman, and L. Smolin, Phys. Rev. D 69, 044001 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.044001