Topological approach to derive the global Hawking temperature of (massive) BTZ black hole

In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating BTZ black hole can be accurately derived by this topologica...

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Published inPhysics letters. B Vol. 810; p. 135788
Main Authors Zhang, Yu-Peng, Wei, Shao-Wen, Liu, Yu-Xiao
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.11.2020
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Abstract In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating BTZ black hole can be accurately derived by this topological method. We also calculate the Hawking temperature of the BTZ black hole in massive gravity. Because the metric function of the BTZ black hole in massive gravity has a mass term, the corresponding Hawking temperature cannot be derived unless an integral constant is added.
AbstractList In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating BTZ black hole can be accurately derived by this topological method. We also calculate the Hawking temperature of the BTZ black hole in massive gravity. Because the metric function of the BTZ black hole in massive gravity has a mass term, the corresponding Hawking temperature cannot be derived unless an integral constant is added.
ArticleNumber 135788
Author Wei, Shao-Wen
Zhang, Yu-Peng
Liu, Yu-Xiao
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  surname: Liu
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  email: liuyx@lzu.edu.cn
  organization: Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China
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Keywords Hawking temperature
Euler characteristic
Topology
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Snippet In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB)...
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SubjectTerms Euler characteristic
Hawking temperature
Topology
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Title Topological approach to derive the global Hawking temperature of (massive) BTZ black hole
URI https://dx.doi.org/10.1016/j.physletb.2020.135788
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