Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach

  • The tunneling radiation of particles from black holes in Lovelock-Born-Infeld (LBI) gravity is studied by using the Parikh-Wilczek (PW) method, and the emission rate of a particle is calculated. It is shown that the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory. Compared to the conventional tunneling rate related to the increment of black hole entropy, the entropy of the black hole in LBI gravity is obtained. The entropy does not obey the area law unless all the Lovelock coefficients equal zero, but it satisfies the first law of thermodynamics and is in accordance with earlier results. It is distinctly shown that the PW tunneling framework is related to the thermodynamic laws of the black hole.
      PCAS:
  • 加载中
  • [1] S. W. Hawking, Commun. Math. Phys., 43:199 (1975)
    [2] G. W. Gibbons and S. W. Hawking, Phys. Rev. D, 15:2752 (1997)
    [3] J. Y. Zhang and Z. Zhao, Acta Phys. Sin., 51:2399 (2002) (in Chinese)
    [4] W. B. Liu and Z. Zhao, Chin. Phys. Lett., 18:310 (2001)
    [5] S. Z. Yang and L. B. Lin, Chin. Phys., 11:619 (2002)
    [6] J. L. Jing, Chin. Phys. Lett., 20:459 (2003)
    [7] S.W. Hawking, Phys. Rev. D, 72:084013 (2005)
    [8] P. Kraus and F. Wilczek, Nucl. Phys. B, 433:403 (1995)
    [9] M. K. Parikh and F. Wilczek, Phys. Rev. Lett., 85:5042 (2000)
    [10] M. K. Parikh, Int. J. Mod. Phys. D, 13:2351 (2004)
    [11] J. Y. Zhang and Z. Zhao, J. High Energy Phys., 10:55 (2005)
    [12] J. Y. Zhang and Z. Zhao, Nucl. Phys. B, 725:173 (2005)
    [13] Q. Q. Jiang, S. Z. Yang, and H. L. Li, Chin. Phys., 14:1736 (2005)
    [14] Y. W. Han and S. Z. Yang, Chin. Phys. Lett., 22:2769 (2005)
    [15] J. Ren, Z. Zhao and C. J. Gao, Chin. Phys. Lett., 22:2489 (2005)
    [16] J. Y. Zhang and Z. Zhao, Phys. Lett. B, 618:14 (2005)
    [17] J. Y. Zhang and Z. Zhao, Mod. Phys. Lett. A, 20:1673 (2005)
    [18] S. Z. Yang, Chin. Phys. Lett., 22:2492 (2005)
    [19] G. Q. Li, Europhys. Lett., 76:203 (2006)
    [20] J. Y. Zhang, J H. Fan, Phys. Lett. B, 648:133 (2007)
    [21] G. Q. Li, Europhys. Lett., 75:216 (2006)
    [22] G. Q. Li, J. Phys. A:Math. Gen., 39:11889 (2006)
    [23] G. Q. Li, Mod. Phys. Lett. A, 22:209 (2007)
    [24] G. Q. Li and J. X. Mo, Astrophys. Space Sci., 361:251 (2016)
    [25] J. Math. Phys. (N.Y.) 12:498 (1971)
    [26] D. G. Boulware and S. Deser, Phys. Rev. Lett., 55:2656 (1985)
    [27] M. H. Dehghani, N. Alinejadi, and S. H. Hendi, Phys. Rev. D, 77:104025 (2008)[arXiv:0802.2637]
    [28] J. X. Mo and W. B. Liu, Eur. Phys. J. C, 74:2836 (2014)[arXiv:1401.0785]
    [29] M. H. Dehghani and M. Shamirzaie, Phys. Rev. D, 72:124015 (2005)[arXiv:hep-th/0506227]
    [30] M. H. Dehghani and R. B. Mann, Phys. Rev. D, 73:104003 (2006)[arXiv:hep-th/0602243]
    [31] M. H. Dehghani and N. Farhangkhah, Phys. Rev. D, 78:064015 (2008)[arXiv:0806.1426]
    [32] M. H. Dehghani and R. Pourhasan, Phys. Rev. D, 79:064015 (2009)[arXiv:0903.4260]
    [33] M. H. Dehghani and R. B. Mann, JHEP, 1007:019 (2010)[arXiv:1004.4397]
    [34] M. H. Dehghani and Sh. Asnafi, Phys. Rev. D, 84:064038 (2011)[arXiv:1107.3354]
    [35] M. Aiello, R. Ferraro, and G. Giribet, Phys. Rev. D, 70:104014 (2004)[arXiv:gr-qc/0408078]
    [36] R. Banerjee and S. K. Modak, JHEP, 0911:073 (2009)[arXiv:0908.2346]
    [37] H. Maeda, M. Hassaine, and C. Martinez, Phys. Rev. D, 79:044012 (2009)[arXiv:0812.2038]
    [38] R. G. Cai, L. M. Cao, and N. Ohta, Phys. Rev. D, 81:024018 (2010)[arXiv:0911.0245]
    [39] D. Kastor, S. Ray, and J. Traschen, Class. Quant. Grav., 27:235014 (2010)[arXiv:1005.5053]
    [40] S. H. Mazharimousavi and M. Halilsoy, Phys. Lett. B, 694:54 (2010)[arXiv:1007.4888]
    [41] D. Zou, R. Yue and Z. Yang, Commun. Theor. Phys., 55:449 (2011)[arXiv:1011.2595]
    [42] P. Li, R. H. Yue and D. C. Zou, Commun. Theor. Phys., 56:845 (2011)[arXiv:1110.0064]
    [43] S. Sarkar and A. C. Wall, Phys. Rev. D, 83:124048 (2011)[arXiv:1011.4988]
    [44] J. de Boer, M. Kulaxizi, and A. Parnachev, JHEP, 1107:109 (2011)[arXiv:1101.5781]
    [45] Y. Bardoux, C. Charmousis, and T. Kolyvaris, Phys. Rev. D, 83:104020 (2011)[arXiv:1012.4390]
    [46] S. H. Hendi, S. Panahiyan, and H. Mohammadpour, Eur. Phys. J. C, 72:2184 (2012)
    [47] R. Yue, D. Zou, T. Yu, P. Li, and Z. Yang, Gen. Rel. Grav., 43:2103 (2011)[arXiv:1011.5293]
    [48] M. Cruz and E. Rojas, Class. Quant. Grav., 30:115012 (2013)[arXiv:1212.1704]
    [49] T. Padmanabhan and D. Kothawala, Phys. Rept., 531:115 (2013)[arXiv:1302.2151]
    [50] D. C. Zou, S. J. Zhang, and B. Wang, Phys. Rev. D, 87:084032 (2013)[arXiv:1302.0904]
    [51] B. Chen and J. J. Zhang, JHEP, 07:185 (2013)[arXiv:1305.6767]
    [52] M. B. Gaete and M. Hassaine, JHEP, 1311:177 (2013)[arXiv:1309.3338]
    [53] Z. Amirabi, Phys. Rev. D, 88:087503 (2013)[arXiv:1311.4911]
    [54] J. de Boer, M. Kulaxizi, and A. Parnachev, JHEP, 1006:008 (2010)[arXiv:0912.1877]
    [55] M. Born and L. Infeld, Proc. Roy. Soc. Lond. A, 144:425 (1934)
    [56] E. Keski-Vakkuri and P. Kraus, Nucl. Phys. B, 491:249 (1997)
  • 加载中

Get Citation
Gu-Qiang Li. Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach[J]. Chinese Physics C, 2017, 41(4): 045103. doi: 10.1088/1674-1137/41/4/045103
Gu-Qiang Li. Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach[J]. Chinese Physics C, 2017, 41(4): 045103.  doi: 10.1088/1674-1137/41/4/045103 shu
Milestone
Received: 2016-08-29
Revised: 2016-10-19
Fund

    Supported by Guangdong Natural Science Foundation (2016A030307051, 2015A030313789)

Article Metric

Article Views(1329)
PDF Downloads(42)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach

    Corresponding author: Gu-Qiang Li,
  • 1. Institute of Theoretical Physics, Lingnan Normal University, Zhanjiang 524048, China
Fund Project:  Supported by Guangdong Natural Science Foundation (2016A030307051, 2015A030313789)

Abstract: The tunneling radiation of particles from black holes in Lovelock-Born-Infeld (LBI) gravity is studied by using the Parikh-Wilczek (PW) method, and the emission rate of a particle is calculated. It is shown that the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory. Compared to the conventional tunneling rate related to the increment of black hole entropy, the entropy of the black hole in LBI gravity is obtained. The entropy does not obey the area law unless all the Lovelock coefficients equal zero, but it satisfies the first law of thermodynamics and is in accordance with earlier results. It is distinctly shown that the PW tunneling framework is related to the thermodynamic laws of the black hole.

    HTML

Reference (56)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return