Entropy of Reissner-Nordström-like black holes

Abstract

In Poincaré 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-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 $\delta {\Gamma }_H$ in a way that ensures the validity of the first law.

LaTex, 10 pages; v2: math symbols in abstract corrected

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Cited by in corpus (7)

• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
• Plebański-Demiański solutions with dynamical torsion and nonmetricity fields
• Rotating Kerr-Newman space-times in Metric-Affine Gravity
• Extremal Kerr black hole entropy in Poincaré gauge theory
• Near-horizon geometry with torsion: Kerr-AdS black hole
• Entropy of Kerr--Newman--AdS black holes with torsion