Logarithmic Corrections to Gravitational Entropy and the Null Energy Condition

TL;DR

This paper investigates how quantum logarithmic corrections to gravitational entropy influence the null energy condition, finding that the geometric form remains unaffected by these corrections.

Contribution

It demonstrates that logarithmic quantum corrections to entropy do not alter the geometric null energy condition in gravitational thermodynamics.

Findings

Logarithmic corrections do not change the null energy condition's geometric form.

Quantum effects modify entropy but preserve fundamental energy conditions.

The relation between horizon thermodynamics and energy conditions remains robust.

Abstract

Using a relation between the thermodynamics of local horizons and the null energy condition, we consider the effects of quantum corrections to the gravitational entropy. In particular, we find that the geometric form of the null energy condition is not affected by the inclusion of logarithmic corrections to the Bekenstein-Hawking entropy.