Entropy of the Randall-Sundrum black brane world to all orders in the Planck length

TL;DR

This paper investigates how quantum gravity effects, modeled via a generalized uncertainty principle, modify the entropy of black holes in a Randall-Sundrum brane world, revealing deviations from the classical area law.

Contribution

It provides a comprehensive analysis of entropy corrections to all orders in the Planck length within the Randall-Sundrum model using GUP.

Findings

The Bekenstein-Hawking area law is not preserved under GUP corrections.

Small inverse area terms modify the classical entropy formula.

Quantum gravity effects introduce universal corrections to black hole entropy.

Abstract

We study the effects, to all orders in the Planck length from a generalized uncertainty principle (GUP), on the statistical entropy of massive scalar bulk fields in the Randall-Sundrum black brane world. We show that the Bekenstein-Hawking area law is not preserved, and contains small corrections terms proportional to the black hole inverse area.