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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

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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

Statistical entropy of reissner-nordstrm-de sitter black hole by generalized uncertainty principle

Huang Hai, He Feng, Sun Hang-Bin
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  • 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.
    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.
    • 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.
    • 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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    Hawking S W 1975 Commun. Math. Phys. 43 199

    [6]
    [7]

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    [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]
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    Hossain G M, Husain V, Seahra S S 2010 Class. Quantum Grav. 27 165013

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    Das S, Vagenas E C 2008 Phys. Rev. Lett. 101 221301

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    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]

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    Kim Y W, Park Y J 2007 Phys. Lett. B 655 172

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    Li X, Wen X Q 2009 JHEP 910 46

    [53]
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    [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

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    [64]

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    Liu W B, Zhao Z 2000 J. Beijing Normal Univ. 36 5

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    Zhao R, Zhang J F, Zhang L C 2002 Commun. Theor. Phys. 37 45

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    Zhou Z A, Suo B, Liu W B 2005 Acta Mathematica Scientia 25 381

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    Cardoso V 2009 Phys. Rev. D 80 127502

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出版历程
  • 收稿日期:  2011-06-28
  • 修回日期:  2012-06-05
  • 刊出日期:  2012-06-05

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