Thermodynamics of the three-dimensional black hole with torsion

TL;DR

This paper investigates a three-dimensional black hole solution with torsion in a Chern-Simons model, revealing unique thermodynamic properties and additional conserved charges due to torsion.

Contribution

It introduces a novel black hole solution with torsion in a Chern-Simons framework and analyzes its thermodynamics and conserved charges.

Findings

Entropy deviates from Bekenstein-Hawking value due to torsion

Presence of an extra conserved charge related to torsion

Black hole metric resembles BTZ geometry with torsion

Abstract

The stationary black hole solution of a Chern-Simons model based on the semi-simple extension of the Poincar\'e gauge group is studied. The solution resembles the metric properties of the BTZ geometry but contains, in addition, non-vanishing torsion. The global structure of spacetime is characterized by three conserved charges: two associated with the mass and angular momentum and one extra constant triggered by spacetime torsion. Consequently, we show that the entropy deviates from the standard Bekenstein-Hawking value and discuss the implications of torsional charges in the context of black hole thermodynamics.