Entropy of Black-Branes System and T-Duality

TL;DR

This paper demonstrates that the entropy of black-brane systems remains invariant under T-duality transformations, providing a rigorous method to compute entropy for complex configurations.

Contribution

It introduces a general proof that black-brane entropy is preserved under T-duality and offers a practical method for calculating entropy in complex systems.

Findings

Black-brane entropy is invariant under T-duality.

The paper provides a rigorous proof of entropy invariance.

Method simplifies entropy calculations for complex black-brane systems.

Abstract

A general black-branes system under the T-duality transformation will become another smeared system with different dimensional black branes. We first use some simple examples to see that both systems have a same value of entropy and then present a rigorous method to prove this general property. Using the property we could easily know the entropy of some complex black-brane systems.