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Statistical entropy of scalar field outside Reissner-Nordstrm-de Sitter black hole is computed by the equation of state density corrected by the generalized uncertainty principle and by Wentzel-Kramers-Brillouin approximation method. The result shows that the entropy is proportional to the sum of the internal, the external and the cosmological horizon areas, which accords with these calculated by other methods. It shows internal relation between the entropy of black hole and horizon area. The entropy of black hole is the entropy of quantum state on horizon, which is a quantum effect.
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Keywords:
- generalized uncertainty principle /
- Reissner-Nordstrm-de Sitter black hole /
- state density /
- statistical entropy
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[56] [57] Chang L N, Minic D, Okamura N 2002 Phys. Rev. D 65 125028
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[63] [64] Zhao Z 1999 Black Hole's Thermal Nature and Spacetime's Strangeness (Beijing: Beijing Normal University Press) pp203--205 (in Chinese) [赵峥 1999 黑洞的热性质与时空奇异性 (北京: 北京师范大学出版社) 第203---205页]
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[68] Zhao R, Zhang J F, Zhang L C 2002 Commun. Theor. Phys. 37 45
[69] [70] [71] Zhou Z A, Suo B, Liu W B 2005 Acta Mathematica Scientia 25 381
[72] Cardoso V 2009 Phys. Rev. D 80 127502
[73] [74] [75] Dotti G, Gleiser R J 2005 Phys. Rev. D 72 044018
[76] [77] Takahashi T, Soda J 2009 Phys. Rev. D 79 104025
[78] [79] Harmark T, Niarchos V, Obers N A 2007 Class. Quantum Grav. 24 R1
[80] Daghigh R G, Green M 2008 Class. Quantum. Grav. 25 055001
[81] -
[1] Bekenstein J D 1972 Lett. Nuovo Cimento 4 737
[2] [3] Bekenstein J D 1973 Phys. Rev. D 7 2333
[4] [5] Hawking S W 1975 Commun. Math. Phys. 43 199
[6] [7] 't Hooft G 1985 Nucl. Phys. B 256 727
[8] Kenmoku M, Ishimoto K, Nandi K K, Shigemoto K 2006 Phys. Rev. D 73 064004
[9] [10] [11] Medved A J M 2002 Class. Quantum Grav. 19 405
[12] He F, Zhao Z, Kim S W 2001 Phys. Rev. D 64 044025
[13] [14] Ghosh T, SenGupta S 2008 Phys. Rev. D 78 024045
[15] [16] Li X, Zhao Z 2000 Phys. Rev. D 62 104001
[17] [18] Li X, Zhao Z 2001 Int. J. Theor. Phys. 40 903
[19] [20] Song T P, Hou C X, Shi W L 2002 Acta Phys. Sin. 51 1398 (in Chinese) [宋太平, 侯晨霞, 史旺林 2002 物理学报 51 1398]
[21] [22] Mead C A 1964 Phys. Rev. D 135 849
[23] [24] Hossain G M, Husain V, Seahra S S 2010 Class. Quantum Grav. 27 165013
[25] [26] Bang J Y, Berger M S 2006 Phys. Rev. D 74 125012
[27] [28] [29] Cortes J L, Gamboa J 2005 Phys. Rev. D 71 065015
[30] [31] Magueijo J, Smolin L 2005 Phys. Rev. D 71 026010
[32] [33] Nouicer K 2007 Phys. Lett. B 646 63
[34] [35] Alfaro J, Morales-Tecotl H A, Urrutia L F 2000 Phys. Rev. Lett. 84 2318
[36] [37] Das S, Vagenas E C 2008 Phys. Rev. Lett. 101 221301
[38] Das S, Vagenas E C 2009 Can. J. Phys. 87 233
[39] [40] Liu W B 2003 Chin. Phys. Lett. 20 440
[41] [42] [43] Yang X J, Zhao Z 2011 Acta Phys. Sin. 60 060401 (in Chinese) [杨学军, 赵峥 2011 物理学报 60 060401]
[44] Han Y W, Hong Y, Yang S Z 2007 Acta Phys. Sin. 56 10 (in Chinese) [韩亦文, 洪云, 杨树政 2007 物理学报 56 10]
[45] [46] [47] He F, Zhao F 2009 Acta Phys. Sin. 58 740 (in Chinese) [贺锋, 赵凡 2009 物理学报 58 740]
[48] He F, Zhao F 2009 Chin. Phys. Lett. 26 040401
[49] [50] [51] Kim Y W, Park Y J 2007 Phys. Lett. B 655 172
[52] Li X, Wen X Q 2009 JHEP 910 46
[53] [54] [55] Kim Y W 2008 Phys. Rev. D 77 067501
[56] [57] Chang L N, Minic D, Okamura N 2002 Phys. Rev. D 65 125028
[58] Zhao Z, Liu L 1991 Acta Phys. Sin. 40 9 (in Chinese) [赵峥, 刘辽 1991 物理学报 40 9]
[59] [60] Zhao R, Zhang L C, Li Z G 1998 IL Nuovo Cimento B 113 291
[61] [62] Koberlein B D, Mallett R L 1994 Phys. Rev. D 49 5111
[63] [64] Zhao Z 1999 Black Hole's Thermal Nature and Spacetime's Strangeness (Beijing: Beijing Normal University Press) pp203--205 (in Chinese) [赵峥 1999 黑洞的热性质与时空奇异性 (北京: 北京师范大学出版社) 第203---205页]
[65] [66] [67] Liu W B, Zhao Z 2000 J. Beijing Normal Univ. 36 5
[68] Zhao R, Zhang J F, Zhang L C 2002 Commun. Theor. Phys. 37 45
[69] [70] [71] Zhou Z A, Suo B, Liu W B 2005 Acta Mathematica Scientia 25 381
[72] Cardoso V 2009 Phys. Rev. D 80 127502
[73] [74] [75] Dotti G, Gleiser R J 2005 Phys. Rev. D 72 044018
[76] [77] Takahashi T, Soda J 2009 Phys. Rev. D 79 104025
[78] [79] Harmark T, Niarchos V, Obers N A 2007 Class. Quantum Grav. 24 R1
[80] Daghigh R G, Green M 2008 Class. Quantum. Grav. 25 055001
[81]
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