Entropy of Reissner-Nordström-like black holes

preprint2022arXivOpen access

Abstract

In Poincaré gauge theory, black hole entropy is defined canonically by the variation of a boundary term ΓHΓ_H, located at horizon. For a class of static and spherically symmetric black holes in vacuum, the explicit formula reads δΓH=TδSδΓ_H=TδS, where TT is black hole temperature and SS entropy. Here, we analyze a new member of the same class, the Reissner-Nordström-like black hole with torsion [1], where the electric charge of matter is replaced by a gravitational parameter, induced by the existence of torsion. This parameter affects δΓHδΓ_H in a way that ensures the validity of the first law.

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