# Hamiltonian approach to black hole entropy: Kerr-like spacetimes

## TL;DR

This paper introduces a Hamiltonian method to compute black hole entropy for Kerr-like spacetimes, demonstrating that different geometric frameworks yield the same entropy result.

## Contribution

It presents a unified Hamiltonian approach to black hole entropy applicable to Kerr-like spacetimes in various geometric settings.

## Key findings

- Black hole entropy is identified as the canonical charge on the horizon.
- The approach works for both Riemannian and torsional geometries.
- Different geometric formulations produce identical entropy results.

## Abstract

Black hole entropy of the Kerr-like family of spacetimes is introduced as the canonical charge on the horizon. Treating these spacetimes in the framework of Poincar\'e gauge theory either as Riemannian solutions or as solutions with torsion, it is shown that these geometrically different setups lead to the same black hole entropy.