Entropy of Reissner-Nordstrom-like black holes

In Poincare gauge theory, black hole entropy is defined canonically by the variation of a boundary term Gamma(H), located at horizon. For a class of static and spherically symmetric black holes in vacuum, the explicit formula reads delta Gamma(H) = T delta S, where T is black hole temperature and S entropy. Here, we analyze a new member of the same class, the Reissner-Nordstrom-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 delta Gamma(H) in a way that ensures the validity of the first law. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

In Poincare gauge theory, black hole entropy is canonically defined by the variation of a boundary term Gamma(H) located at the horizon. For a new member of the same class, the Reissner-Nordstrom-like black hole with torsion, the variation of Gamma(H) is affected by a gravitational parameter induced by the existence of torsion, ensuring the validity of the first law.