Thermodynamic instabilities of Kerr-Newman Ads black holes

2023/05/02 by He, Yiqian, Mu, Benrong
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2305.02196

Abstract

In~\citeJohnson:2019mdp, Clifford put forward that the specific heat at constant volume C_V is always negetive for the super-entropy black hole. Later in~\citeCong:2019bud, Robert et al. found C_V>0 in certain region for the generalized exotic BTZ black holes. Futhermore, they proposed a new conjecture that as the C_V>0, the specific heat at constant pressure C_P always satisfies C_P<0 in super-entropy black hole. In this paper, we examine the both conjectures with regard to the thermodynamic instability of super-entropy black hole. By means of a super-entropy black hole, the Kerr-Newman-AdS black hole in a coordinate system that rotates at infinity, we detailedly analyze its character and notice there exists the region where C_V>0 and meanwhile C_P>0. Hence, we find a counterexample to the two conjectures.

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