Bekenstein Bound, Holography and Brane Cosmology in Charged Black Hole Backgrounds

TL;DR

This paper derives entropy bounds for charged objects in various dimensions using holographic principles, explores their relation in AdS black hole backgrounds, and discusses brane cosmology and holography in charged black hole spacetimes.

Contribution

It introduces a Bekenstein-Verlinde-like bound for charged systems and connects brane cosmology with charged AdS black holes using holographic methods.

Findings

Derived Bekenstein entropy bound for charged objects in arbitrary dimensions.

Proposed a Bekenstein-Verlinde-like bound for charged systems.

Connected brane cosmology equations with AdS Reissner-Nordström black holes.

Abstract

We obtain a Bekenstein entropy bound for the charged objects in arbitrary dimensions ($D\ge 4$) using the D-bound recently proposed by Bousso. With the help of thermodynamics of CFTs corresponding to AdS Reissner-Norstr\"om (RN) black holes, we discuss the relation between the Bekenstein and Bekenstein-Verlinde bounds. In particular we propose a Bekenstein-Verlinde-like bound for the charged systems. In the Einstein-Maxwell theory with a negative cosmological constant, we discuss the brane cosmology with positive tension using the Binetruy-Deffayet-Langlois approach. The resulting Friedman-Robertson-Walker equation can be identified with the one obtained by the moving domain wall approach in the AdS RN black hole background. Finally we also address the holographic property of the brane universe.