Black hole entropy from loop quantum gravity in higher dimensions

TL;DR

This paper extends loop quantum gravity methods to compute black hole entropy in higher dimensions, showing that the state counting reduces to a known 3+1-dimensional problem with modified area spectra.

Contribution

It introduces a derivation for black hole entropy in higher dimensions within loop quantum gravity, generalizing the 3+1-dimensional state counting approach.

Findings

Entropy calculation reduces to 3+1-dimensional case

Effective area spectrum differs in higher dimensions

Method applies to spherical non-rotating isolated horizons

Abstract

We propose a derivation for computing black hole entropy for spherical non-rotating isolated horizons from loop quantum gravity in four and higher dimensions. The state counting problem effectively reduces to the well studied 3+1-dimensional one based on an SU(2)-Chern-Simons theory, differing only in the precise form of the area spectrum.