The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity

TL;DR

This paper extends the calculation of black hole horizon entropy to higher dimensions within Loop Quantum Gravity, showing that boundary degrees of freedom can be modeled by a punctured BF theory, resulting in entropy consistent with the Bekenstein-Hawking law.

Contribution

It introduces a higher-dimensional extension of isolated horizon entropy calculation using BF theory in Loop Quantum Gravity, generalizing previous 4D results.

Findings

Entropy matches Bekenstein-Hawking law in higher dimensions

Boundary degrees of freedom described by punctured SO(1,1) BF theory

Method extends LQG horizon entropy calculations to higher-dimensional spacetimes

Abstract

In this paper, we extend the calculation of the entropy of the nonrotating isolated horizons in 4 dimensional spacetime to that in a higher dimensional spacetime. We show that the boundary degrees of freedom on an isolated horizon can be described effectively by a punctured $SO(1,1)$ BF theory. Then the entropy of the nonrotating isolated horizon can be calculated out by counting the microstates. It satisfies the Bekenstein-Hawking law.