Charged-Rotating Black Holes in Higher-dimensional (A)DS-Gravity

TL;DR

This paper provides numerical evidence for the existence of rotating black hole solutions in higher-dimensional Einstein-Maxwell theory with a cosmological constant, analyzing their properties and the influence of electromagnetic fields.

Contribution

It introduces numerical solutions for charged, rotating black holes in higher dimensions with a cosmological constant, extending known vacuum solutions.

Findings

Black hole solutions exist in odd dimensions with specific symmetries.

Electromagnetic fields affect the domain of existence of black holes.

Properties like surface gravity, mass, and angular momentum depend on magnetic field and horizon angular velocity.

Abstract

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions have $(d-1)/2$ equal angular momenta. A Schwarschild-type coordinate is used for the radial variable and both signs of the cosmological constant are emphasized. Several properties of the solutions are studied, namely their surface gravity, mass and angular momentum as functions of two parameters: the magnetic field and the angular velocity at the horizon. The influence of the electromagnetic field on the domain of existence of the black holes is studied are compared to the vacuum case where analytic solutions are available.