Entropy of Killing horizons from Virasoro algebra in D-dimensional extended Gauss-Bonnet gravity

TL;DR

This paper derives the entropy of D-dimensional black holes in extended Gauss-Bonnet gravity by identifying a Virasoro algebra at the horizon and applying the Cardy formula for microscopic state counting.

Contribution

It introduces a method to compute black hole entropy in extended Gauss-Bonnet gravity using Virasoro algebra and boundary conditions at the horizon, providing a microscopic interpretation.

Findings

Virasoro algebra identified at the horizon

Central charge and eigenvalues computed

Entropy matches expected thermodynamic results

Abstract

We treat D-dimensional black holes with Killing horizon for extended Gauss-Bonnet gravity. We use Carlip method and impose boundary conditions on horizon what enables us to identify Virasoro algebra and evaluate its central charge and Hamiltonian eigenvalue. The Cardy formula allows then to calculate the number of states and thus provides for microscopic interpretation of entropy.