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Quasi-normal Modes and Thermal Fluctuations of Charged Black Hole with Weyl Corrections

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arxiv 2005.09430 v1 pith:B55G4ZP7 submitted 2020-05-12 gr-qc

Quasi-normal Modes and Thermal Fluctuations of Charged Black Hole with Weyl Corrections

classification gr-qc
keywords fluctuationsthermalblackcorrectionsholemodesquasi-normalcharged
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we study thermodynamics, quasi-normal modes and thermal fluctuations of a charged black hole with Weyl corrections. We first obtain thermodynamic quantities such as Hawking temperature, entropy, and heat capacity for non-rotating as well as rotating versions of this black hole. We also evaluate temperature through quantum tunneling mechanism which is exactly the same as found through surface gravity. We then discuss the relation between Davies's point and quasi-normal modes. Finally, we investigate the effects of thermal fluctuations on the uncorrected thermodynamic quantities. It is concluded that the logarithmic corrections originated from thermal fluctuations make the system more unstable for small BHs.

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