# Entropy of black hole in the infinite-derivative gravity

## TL;DR

This paper calculates the Wald entropy of Schwarzschild black holes within a ghost-free, infinite-derivative gravity framework, revealing modifications to the traditional area law influenced by the d'Alembertian operator.

## Contribution

It introduces a novel calculation of black hole entropy in infinite-derivative gravity, highlighting additional contributions beyond the area law.

## Key findings

- Entropy includes an extra term depending on the d'Alembertian operator.
- The results are consistent with the presence of only a massless graviton mode.
- The entropy deviates from the classical area law in this gravity model.

## Abstract

We compute the Wald entropy of the Schwarzschild black hole in the ghost-free, infinite derivative gravity that is quadratic in curvature. This is not given purely by the area law but includes an additional contribution depending on the power of d'Alembertian operator, when requiring that the massless graviton be the only propagating mode in the Minkowski sapcetime.