Black Hole entropy by the brick wall method in four and five dimensions with U(1) charges

TL;DR

This paper calculates the entropy of scalar fields around 4D and 5D black holes with U(1) charges using the brick wall method, confirming Bekenstein's law and discussing corrections in the 5D case.

Contribution

It applies the brick wall method to compute black hole entropy in higher dimensions with U(1) charges, highlighting corrections in five dimensions.

Findings

Bekenstein entropy law is generally obeyed

Corrections to entropy are discussed in 5D case

Entropy calculations are performed for black holes with multiple U(1) charges

Abstract

Using the brick wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These background are generated by four and five dimensional black holes with four and three U(1) charges respectively. The Bekenstein entropy formula is generally obeyed, but corrections are discussed in the latter case.