利用广义不确定关系计算 Reissner-Nordstrm-de Sitter黑洞的统计力学熵

黄海; 贺锋; 孙航宾

doi:10.7498/aps.61.110403

摘要

利用广义不确定关系修正的态密度方程并采用Wentzel-Kramers-Brillouin (WKB) 近似方法, 计算了Reissner-Nordstrm-de Sitter (RNdS) 黑洞时空中标量场的统计力学熵. 结果表明, 由这种方法得到的黑洞熵与它的内、外视界面积和宇宙视界面积之和成正比, 这与采用其他方法所得的结果一致, 从而揭示了黑洞熵与视界面积之间的内在联系, 也进一步表明了黑洞熵是视界面上量子态的熵, 是一种量子效应.

关键词:

Abstract

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.

Keywords:

generalized uncertainty principle /
Reissner-Nordstrm-de Sitter black hole /
state density /
statistical entropy

作者及机构信息

1.
湖南科技大学物理与电子科学学院, 湘潭 411201

基金项目: 湖南省自然科学基金(批准号: 11JJ6001)、国家自然科学基金(批准号: 11147011) 和湖南省教育厅优秀青年科研项目基金 (批准号: 11B050) 资助的课题.

Authors and contacts

1.
College of Physics and Electronic Science, Hunan University of Science and Technology, Xiangtan 411201, China

Funds: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No. 11JJ6001), the National Natural Science Foundation of China ( Grant No.11147011), and the Youth Scientific Research Fund of Education Department of Human Province, China (Grant No.11B050).

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施引文献

[1]	Bekenstein J D 1972 Lett. Nuovo Cimento 4 737
[2]
[3]	Bekenstein J D 1973 Phys. Rev. D 7 2333
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[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 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 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 56 10]
[45]
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[47]	He F, Zhao F 2009 Acta Phys. Sin. 58 740 (in Chinese) [贺锋, 赵凡 2009 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 40 9]
[59]
[60]	Zhao R, Zhang L C, Li Z G 1998 IL Nuovo Cimento B 113 291
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[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]
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[77]	Takahashi T, Soda J 2009 Phys. Rev. D 79 104025
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[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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