Logarithmic corrections for near-extremal black holes

TL;DR

This paper calculates logarithmic quantum corrections to the entropy of near-extremal black holes using a modified heat kernel method, extending previous extremal results to near-extremal cases in various supergravity theories.

Contribution

It introduces a novel approach to compute logarithmic corrections for near-extremal black holes by perturbing around the extremal geometry, applicable to multiple supergravity models.

Findings

Logarithmic corrections computed for non-rotating near-extremal black holes.

Method successfully recovers extremal black hole results in the appropriate limit.

Applicable to Einstein-Maxwell and various supergravity theories.

Abstract

We present the computation of logarithmic corrections to near-extremal black hole entropy from one-loop Euclidean gravity path integral around the near-horizon geometry. We extract these corrections employing a suitably modified heat kernel method, where the near-extremal near-horizon geometry is treated as a perturbation around the extremal near-horizon geometry. Using this method we compute the logarithmic corrections to non-rotating solutions in four dimensional Einstein-Maxwell and $\mathcal{N} = 2,4,8$ supergravity theories. We also discuss the limit that suitably recovers the extremal black hole results.