Brick Walls on the Brane

TL;DR

This paper extends the brick-wall model to a Randall-Sundrum brane world, demonstrating that the Bekenstein-Hawking entropy law holds for black holes appearing on the brane, even with complex bulk geometries.

Contribution

It applies the brick-wall formalism to thermal bulk fields in a brane world scenario without simplifying assumptions, confirming the entropy law's validity in this context.

Findings

Bekenstein-Hawking entropy law is preserved in the brane world scenario.

The analysis avoids unjustified simplifying assumptions used in prior work.

Black hole in the bulk appears as a Schwarzschild black hole on the brane.

Abstract

The so-called ``brick-wall model'' is a semi-classical approach that has been used to explain black hole entropy in terms of thermal matter fields. Here, we apply the brick-wall formalism to thermal bulk fields in a Randall-Sundrum brane world scenario. In this case, the black hole entity is really a string-like object in the anti-de Sitter bulk, while appearing as a Schwarzchild black hole to observers living on the brane. In spite of these exotic circumstances, we establish that the Bekenstein-Hawking entropy law is preserved. Although a similar calculation was recently considered in the literature, this prior work invoked a simplifying assumption (which we avoid) that can not be adequately justified.