Thermodynamic instability and the violation of reverse isoperimetric inequality in Torus-like black hole

2023/06/01 by Song, Yue, Yiqian He, He, Yiqian +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations

paper · pdf · doi:10.48550/arxiv.2306.01030

Abstract

Recently, conjectures have been made that there is a correlation between thermodynamic instability and super-entropy~\citeJohnson:2019mdp,Cong:2019bud. In this paper, we started with torus-like black holes and verified the correlation mentioned above. After solving the specific analytical solutions of the specific heat capacity at constant volume C_V, the specific heat capacity at constant pressure C_P and plotting the figures, we obtained the results which are consistent with the hypothesis from Ref. \citeCong:2019bud. To further verify the generality of conjectures, we explored the BTZ black hole in nonlinear electrodynamics and phantom AdS black hole. And then the results are summarized via a table. Ultimately, the comparison among these three black holes leads us to the conclusion that there is no essential connection between thermodynamic instability and super-entropy.

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