Study of Anisotropic Black Branes in Asymptotically anti-de Sitter

TL;DR

This paper explores anisotropic black brane solutions in four-dimensional asymptotically AdS space within Einstein-Maxwell-dilaton and Einstein-Maxwell-dilaton-axion theories, analyzing their properties and thermodynamics.

Contribution

It provides new analytical and numerical solutions for anisotropic black branes in specific gravitational theories, including extremal and non-extremal cases, with thermodynamic insights.

Findings

Solutions approach singular behavior at extremal horizon

Non-extremal solutions are smooth everywhere

The third law of thermodynamics holds in the setup

Abstract

We investigate the four dimensional gravitational theories which admit homogeneous but anisotropic black brane solutions in asymptotically AdS space-time. The gravitational theories we consider are 1) Einstein-Maxwell-dilaton theory, and 2) Einstein-Maxwell-dilaton-axion theory with SL(2,R) symmetry. We obtain the solutions both analytically and numerically. Analytical solutions are obtained by perturbation from the isotropic solutions. Our solutions approach singular behavior at the horizon in the extremal limit but in non-extremal case, they are smooth everywhere. We also discuss how the third law of thermodynamics holds in our set-up.