Thermodynamic relation of accelerating black holes in anti-de Sitter spacetime

Abstract

We consider accelerating black holes in four-dimensional anti-de Sitter spacetime and investigate the extremality relations by examining perturbative corrections to both the entropy of black holes and their extremality bounds. It is shown that the so-called Goon and Penco (univeral) relation is also valid for accelerating black holes. Furthermore, it is found that an appropriate matching condition is necessary between the perturbation parameter of the relation with the perturbative correction to such black holes, and the parameter with information about the conical deficits on the north and south poles with the cosmic string tensions in order to satisfy the extremality relations. This result indicates that the extremality (univeral) relation of a class of accelerating black holes holds exhibit behavior similar to the Weak Gravity Conjecture.

5 pages, 2 figures, 1 table, typos corrected, version to appear in NPB

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Cited by in corpus (3)

• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Cosmic-Quantum Connections: Assessing the Viability of Weak Gravity and Weak Cosmic Censorship Conjectures in Kerr-Newman-Kiselev-Letelier Black Hole
• Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole