Entropy in Poincar\'e gauge theory: Kerr-AdS solution

TL;DR

This paper introduces a Hamiltonian-based method to define black hole entropy in Kerr-AdS spacetimes with torsion, showing that thermodynamic variables are proportional to those in general relativity and confirming the first law.

Contribution

It presents a novel Hamiltonian approach to black hole entropy in Poincaré gauge theory, extending thermodynamic analysis beyond standard GR settings.

Findings

Entropy is proportional to GR expressions despite different geometry.

Thermodynamic variables satisfy the first law.

The approach confirms the validity of the first law in torsion-inclusive spacetimes.

Abstract

Using a Hamiltonian approach, we introduce black hole entropy for Kerr-AdS spacetimes with torsion as the canonical charge on horizon. In spite of a completely different geometric setting with respect to GR, the resulting thermodynamic variables, energy, angular momentum and entropy, are shown to be proportional to the corresponding GR expressions. The validity of the first law is confirmed.