Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole

TL;DR

This paper computes quantum gravitational corrections to Schwarzschild black hole entropy using the Wald formula, revealing higher-order curvature effects that alter horizon properties and entropy calculations.

Contribution

It introduces a second- and partial third-order curvature correction analysis to black hole entropy within an effective field theory framework.

Findings

Corrections to entropy are calculated up to second order in curvature.

Third-order curvature effects introduce new considerations for entropy and horizon properties.

Schwarzschild metric receives significant corrections at higher curvature orders.

Abstract

We calculate quantum gravitational corrections to the entropy of black holes using the Wald entropy formula within an effective field theory approach to quantum gravity. The corrections to the entropy are calculated to second order in curvature and we calculate a subset of those at third order. We show that, at third order in curvature, interesting issues appear that had not been considered previously in the literature. The fact that the Schwarzschild metric receives corrections at this order in the curvature expansion has important implications for the entropy calculation. Indeed, the horizon radius and the temperature receive corrections. These corrections need to be carefully considered when calculating the Wald entropy.