Corrections to the Entropy in Higher Order Gravity

TL;DR

This paper calculates thermal corrections to black hole entropy in Lovelock gravity, analyzing two classes of thermodynamic behavior and deriving logarithmic correction factors in different limits.

Contribution

It provides new calculations of entropy corrections in higher order gravity theories, specifically Lovelock gravity, and distinguishes between different thermodynamic regimes.

Findings

Thermal corrections to black hole entropy are computed in Lovelock gravity.

Two classes of thermodynamic behavior are identified and analyzed.

Logarithmic correction factors are derived in different limits.

Abstract

Thermal corrections to the entropy of black holes in the Lovelock gravity are calculated. As the thermodynamic behavior of the black holes of this theory falls into two classes, the thermodynamic quantities are computed in each case. Finally, the logarithmic prefactors are obtained in two different limits.