Charged and rotating Black AdS Branes in $n+p+2$ dimensions

TL;DR

This paper extends known static black brane solutions in Anti-de Sitter space by incorporating rotation and electromagnetic charge, analyzing their thermodynamics and how these features affect physical properties like tension and mass.

Contribution

It introduces a generalized class of charged and rotating AdS black branes and investigates their thermodynamical behavior numerically, providing new insights into their physical characteristics.

Findings

Rotation significantly affects the tensions of the branes.

Charge primarily influences the mass of the black branes.

Numerical evidence supports the existence of stable charged and rotating solutions.

Abstract

We generalize the vacuum static black brane solutions of Einstein's equations with negative cosmological constant recently discussed in literature, by introducing rotations and an electromagnetic field. We investigate numerically the thermodynamical properties of the charged and of the rotating $AdS$ black brane and we provide evidences for the existence of the charged and rotating case. In particular, we study the influence of the rotation and charge on the tension and mass. We find that the rotation essentially influences the tensions while the charge essentially influences the mass.