A heuristic analysis of black hole thermodynamics with generalized uncertainty principle

Journal of High Energy Physics

Volumn 2009, Issue 10, 2009, Pages

  Xiang, Li ^a   Wen, X Q ^a  

^a NANCHANG UNIVERSITY   (China)

Author keywords

Black holes; Spacetime singularities

Indexed keywords

EID: 70350784028     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/10/046     Document Type: Article

References (71)

1. G. Veneziano, 1986 A stringy nature needs just two constants Europhys. Lett. 2 199
2. T. Yoneya, 1987 Wandering in the fields, World Scientific
3. D.J. Gross and P.F. Mende, 1988 String theory beyond the planck scale, Nucl. Phys. B 303 407
4. T. Yoneya, 1989 On the interpretation of minimal length in string theories, Mod. Phys. Lett. A 4 1587
5. D. Amati, M. Ciafaloni and G. Veneziano, 1989 Can space-time be probed below the string size?, Phys. Lett. B 216 41
6. K. Konishi, G. Paffuti and P. Provero, 1990 Minimum physical length and the generalized uncertainty principle in string theory, Phys. Lett. B 234 276
7. M. Maggiore, 1993 A generalized uncertainty principle in quantum gravity, Phys. Lett. B 304 65 [hep-th/9301067]
8. L.J. Garay, 1995 Quantum gravity and minimum length, Int. J. Mod. Phys. A 10 145 [gr-qc/9403008] and the references therein
9. A. Kempf, G. Mangano and R.B. Mann, 1995 Hilbert space representation of the minimal length uncertainty relation, Phys. Rev. D 52 1108 [hep-th/9412167]
10. F. Scardigli, 1999 Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment, Phys. Lett. B 452 39 [hep-th/9904025]
11. D.V. Ahluwalia, 2000 Wave particle duality at the Planck scale: Freezing of neutrino oscillations, Phys. Lett. A 275 31 [gr-qc/0002005]
12. R.J. Adler and D.I. Santiago, 1999 On gravity and the uncertainty principle, Mod. Phys. Lett. A 14 1371 [gr-qc/9904026]
13. R.J. Adler, P. Chen and D.I. Santiago, 2001 The generalized uncertainty principle and black hole remnants, Gen. Rel. Grav. 33 2101 [gr-qc/0106080]
14. P.S. Custodio and J.E. Horvath, 2003 The generalized uncertainty principle, entropy bounds and black hole (non-)evaporation in a thermal bath, Class. Quant. Grav. 20 L197 [gr-qc/0305022]
15. A.E. Shalyt-Margolin, 2004 Pure states, mixed states and Hawking problem in generalized quantum mechanics, Mod. Phys. Lett. A 19 2037 [gr-qc/0405069]
16. A.J.M. Medved and E.C. Vagenas, 2004 When conceptual worlds collide: the GUP and the BH entropy, Phys. Rev. D 70 124021 [hep-th/0411022]
17. B. Bolen and M. Cavaglia, 2005 (Anti-)de Sitter black hole thermodynamics and the generalized uncertainty principle, Gen. Rel. Grav. 37 1255 [gr-qc/0411086]
18. G. Amelino-Camelia, M. Arzano, Y. Ling and G. Mandanici, 2006 Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles, Class. Quant. Grav. 23 2585 [gr-qc/0506110]
19. M. Maziashvili, 2006 Black hole remnants due to GUP or quantum gravity?, Phys. Lett. B 635 232 [gr-qc/0511054]
20. K. Nozari and A.S. Sefiedgar, 2006 Comparison of approaches to quantum correction of black hole thermodynamics, Phys. Lett. B 635 156 [gr-qc/0601116]
21. Y. Ko, S. Lee and S. Nam, Tests of quantum gravity via generalized uncertainty principle, [hep-th/0608016]
22. Y.S. Myung, Y.-W. Kim and Y.-J. Park, 2007 Black hole thermodynamics with generalized uncertainty principle, Phys. Lett. B 645 393 [gr-qc/0609031]
23. W. Kim, Y.-W. Kim and Y.-J. Park, 2007 Entropy of a charged black hole in two dimensions without cutoff, Phys. Rev. D 75 127501 [gr-qc/0702018]
24. K. Nouicer, 2007 Black holes thermodynamics to all order in the Planck length in extra dimensions, Class. Quant. Grav. 24 5917 [Erratum ibid 24 (2007) 6435] [0706.2749]
25. M.-i. Park, 2008 The generalized uncertainty principle in (A)dS space and the modification of Hawking temperature from the minimal length, Phys. Lett. B 659 698 [0709.2307]
26. W. Kim, E.J. Son and M. Yoon, Thermodynamics of (2+1)-dimensional acoustic black hole based on the generalized uncertainty principle, [0801.1439]
27. X. Han, H.-r. Li and Y. Ling, 2008 Modified dispersion relations and (A)dS Schwarzschild black holes, Phys. Lett. B 666 121 [0807.4269]
28. F. Scardigli, Glimpses on the micro black hole Planck phase, [0809.1832]
29. G. Amelino-Camelia, M. Arzano and A. Procaccini, 2004 Severe constraints on loop-quantum-gravity energy-momentum dispersion relation from black-hole area-entropy law, Phys. Rev. D 70 107501 [gr-qc/0405084]
30. J.D. Bekenstein, 1973 Black holes and entropy, Phys. Rev. D 7 2333
31. G.W. Gibbons and S.W. Hawking, 1977 Cosmological event horizons, thermodynamics and particle creation, Phys. Rev. D 15 2738
32. Z. Zheng and L. Liao, 1983 Carnot cycle and temperature of horizons Chinese Science Bulletin 28 1610 http://www.scichina.com:8080/kxtbe/EN/abstract/ abstract318940.shtml
33. F. Scardigli, Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle, [gr-qc/0607010]
34. J.M. Bardeen, B. Carter and S.W. Hawking, 1973 The four laws of black hole mechanics, Commun. Math. Phys. 31 161
35. Y. Zhang, S.-Q. Hu, R. Zhao and H.-F. Li, 2008 Generalized uncertainty principle and correction value to the Kerr black hole entropy, Int. J. Theor. Phys. 47 520
36. R.H. Boyer and R.W. Lindquist, 1967 Maximal analytic extension of the Kerr metric, J. Math. Phys. 8 265
37. H.C. Ohanian and R. Ruffini, 1994 Gravitation and spacetime, Norton
38. C.B. Liang, 2001 Differential geometry and the foundation of general relativity (in chinese), Beijing Normal University Press, China
39. J.M. Maldacena and A. Strominger, 1997 Universal low-energy dynamics for rotating black holes, Phys. Rev. D 56 4975 [hep-th/9702015]
40. J.M. Maldacena and A. Strominger, 1997 Black hole greybody factors and D-brane spectroscopy, Phys. Rev. D 55 861 [hep-th/9609026]
41. S.R. Das and S.D. Mathur, 1996 Comparing decay rates for black holes and D-branes, Nucl. Phys. B 478 561 [hep-th/9606185]
42. M. Cveti and F. Larsen, 1997 General rotating black holes in string theory: greybody factors and event horizons, Phys. Rev. D 56 4994 [hep-th/9705192]
43. D. Christodoulou, 1970 Reversible and irreversible transforations in black hole physics, Phys. Rev. Lett. 25 1596
44. D. Christodoulou and R. Ruffini, 1971 Reversible transformations of a charged black hole, Phys. Rev. D 4 3552
45. S. Carlip, 2000 Logarithmic corrections to black hole entropy from the Cardy formula, Class. Quant. Grav. 17 4175 [gr-qc/0005017]
46. J.-l. Jing and M.-L. Yan, 2001 Statistical entropy of the static dilaton black holes from the Cardy formulas, Phys. Rev. D 63 024003 [gr-qc/0005105]
47. R.K. Kaul and P. Majumdar, 2000 Logarithmic correction to the Bekenstein-Hawking entropy, Phys. Rev. Lett. 84 5255 [gr-qc/0002040]
48. A. Ghosh and P. Mitra, 2005 A bound on the log correction to the black hole area law, Phys. Rev. D 71 027502 [gr-qc/0401070]
49. A. Ashtekar, J. Engle and C. Van Den Broeck, 2005 Quantum horizons and black hole entropy: inclusion of distortion and rotation, Class. Quant. Grav. 22 L27 [gr-qc/0412003]
50. S. Mukherji and S.S. Pal, 2002 Logarithmic corrections to black hole entropy and AdS/CFT correspondence J. High Energy Phys. JHEP05(2002)026 [hep-th/0205164]
51. A. Krause, 2006 On the Bekenstein-Hawking entropy, non-commutative branes and logarithmic corrections, Int. J. Mod. Phys. A 21 4449 [hep-th/0312309]
52. D.N. Page, 2005 Hawking radiation and black hole thermodynamics, New J. Phys. 7 203 [hep-th/0409024] and the references therein
53. R. Banerjee and B.R. Majhi, 2008 Quantum tunneling and back reaction, Phys. Lett. B 662 62 [0801.0200]
54. R. Banerjee, B.R. Majhi and S. Samanta, 2008 Noncommutative black hole thermodynamics, Phys. Rev. D 77 124035 [0801.3583]
55. R. Banerjee and B.R. Majhi, 2008 Quantum tunneling beyond semiclassical approximation J. High Energy Phys. JHEP06(2008)095 [0805.2220]
56. T. Padmanabhan, 1999 Event horizon: magnifying glass for Planck length physics, Phys. Rev. D 59 124012 [hep-th/9801138]
57. J. Alfaro, H.A. Morales-Tecotl and L.F. Urrutia, 2000 Quantum gravity corrections to neutrino propagation, Phys. Rev. Lett. 84 2318 [gr-qc/9909079]
58. R. Aloisio, P. Blasi, A. Galante and A.F. Grillo, A fluctuating space-time produces an unstable world, [astro-ph/0304050]
59. P. Hoava, 2009 Quantum gravity at a Lifshitz point, Phys. Rev. D 79 084008 [0901.3775]
60. B. Chen and Q.-G. Huang, Field theory at a Lifshitz point, [0904.4565]
61. R.-G. Cai, L.-M. Cao and N. Ohta, 2009 Thermodynamics of black holes in Hoava-Lifshitz gravity, Phys. Lett. B 679 504 [0905.0751]
62. C. Bambi, 2008 A revision of the generalized uncertainty principle, Class. Quant. Grav. 25 105003 [0804.4746]
63. P.C. Vaidya, 1951 The gravitational field of a radiating star Proc. Indian Acad. Sci. A 33 264 http://www.ams.org/mathscinet-getitem?mr=44255
64. W.A. Hiscock, 1977 Stress energy tensor for a two-dimensional evaporating black hole, Phys. Rev. D 16 2673
65. R. Balbinot, 1986 The back reaction and the small mass regime, Phys. Rev. D 33 1611
66. Z. Zhao and X.-X. Dai, 1992 A new method dealing with Hawking effects of evaporating black holes, Mod. Phys. Lett. A 7 1771
67. J. Aharonov, A. Casher and S. Nussinov, 1987 The unitarity puzzle and planck mass stable particles, Phys. Lett. B 191 51
68. J. Preskill, Do black holes destroy information?, [hep-th/9209058] and the references therein
69. J.D. Bekenstein, 1994 Entropy bounds and black hole remnants, Phys. Rev. D 49 1912 [gr-qc/9307035]
70. R. Bousso, 2001 Bekenstein bounds in de Sitter and flat space J. High Energy Phys. JHEP04(2001)035 [hep-th/0012052]
71. C. Bambi and F.R. Urban, 2008 Natural extension of the generalised uncertainty principle, Class. Quant. Grav. 25 095006 [0709.1965]