The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity

TL;DR

This paper applies BF theory to nonrotating isolated horizons in Lovelock gravity, deriving entropy consistent with Wald's formula and highlighting the flux operator's role over the area operator in entropy calculation.

Contribution

It extends loop quantum gravity methods to Lovelock theory, demonstrating the entropy's relation to flux operators and confirming previous findings.

Findings

Entropy matches Wald's formula for Lovelock gravity

Entropy is related to flux operators, not area operators

Method confirms previous results by Bodendorfer et al.

Abstract

In this paper, the BF theory method is applied to the nonrotating isolated horizons in Lovelock theory. The final entropy matches the Wald entropy formula for this theory. We also confirm the conclusion got by Bodendorfer et. al. that the entropy is related to the flux operator rather than the area operator in general diffeomorphic-invariant theory.