Entropy of the Randall-Sundrum black brane world in the brick-wall method
Won Tae Kim, John J. Oh, and Young-Jai Park
TL;DR
This paper computes the entropy of a black brane in the Randall-Sundrum model using the brick-wall method, quantizing modes along the extra dimension and relating the entropy to the two-dimensional area.
Contribution
It introduces a semi-classical quantization of modes in the extra dimension and derives a simplified expression for entropy in the RS brane-world scenario.
Findings
Entropy expressed via the two-dimensional area of the black brane
Mode counting along the extra dimension using RS mass relation
Application of the brick-wall method to higher-dimensional black holes
Abstract
We calculate the entropy of the brane-world black hole in the Randall-Sundrum(RS) model by using the brick-wall method. The modes along the extra dimension are semi-classically quantized on the extra dimension. The number of modes in the extra dimension is given as a simple form with the help of the RS mass relation, and then the entropy for the scalar modes in the five-dimensional spacetime is described by the two-dimensional area of the black brane world.
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