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Entropy of Reissner-Nordström-like black holes

In Poincaré gauge theory, black hole entropy is defined canonically by the variation of a boundary term $Γ_H$, located at horizon. For a class of static and spherically symmetric black holes in vacuum, the explicit formula reads $δΓ_H=TδS$, where $T$ is black hole temperature and $S$ 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 $δΓ_H$ in a way that ensures the validity of the first law.

preprint2022arXivOpen access

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