Generalized Covariant Entropy Bound in Lanczos-Lovelock Gravity

TL;DR

This paper demonstrates that the generalized covariant entropy bound and the second law hold in Lanczos-Lovelock gravity when Einstein gravity is perturbed by higher-order Lovelock terms, using Jacobson-Myers entropy.

Contribution

It extends the covariant entropy bound to Lanczos-Lovelock gravity and shows its validity under perturbations using Jacobson-Myers entropy.

Findings

The entropy bound is satisfied under higher-order perturbations.

The generalized second law holds in Lanczos-Lovelock gravity.

Jacobson-Myers entropy obeys the entropy bound under perturbations.

Abstract

In this paper, we investigate the generalized covariant entropy bound in the theory where the Einstein gravity is perturbed by the higher-order Lovelock terms. After replacing the Bekenstein-Hawking entropy with the Jacobson-Myers entropy and introducing two reasonable physical assumptions, we showed that the corresponding generalized covariant entropy bound is satisfied under a higher-order approximation of the perturbation from the higher-order Lovelock terms. Our result implies that the Jacobson-Myers entropy strictly obeys the entropy bound under the perturbation level, and the generalized second law of Lanczos-Lovelock gravity is also satisfied when the Einstein gravity is perturbed by the higher-order Lovelock terms.