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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Bibliographic Details
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
Elsevier
Subjects
Euler characteristic
Hawking temperature
Topology
Hawking temperature
Euler characteristic
Topology
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2020.135788