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.
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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
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Received: 2016-08-29
Revised: 2016-10-19
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    Supported by Guangdong Natural Science Foundation (2016A030307051, 2015A030313789)

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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.

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