Higher Dimensional Charged Rotating Solutions in (A)dS Space-times

TL;DR

This paper introduces a new class of higher-dimensional, charged, rotating solutions in (A)dS space-times, generalizing previous models and analyzing their thermodynamic properties and conserved charges.

Contribution

It provides explicit solutions to Einstein-Maxwell equations with various horizon topologies in higher dimensions, extending known black hole solutions to include charge and rotation in (A)dS backgrounds.

Findings

Solutions have toroidal, planar, or cylindrical horizons.

Calculated temperature, entropy, mass, and angular momentum.

Solutions include black holes and black strings/branes.

Abstract

We present a class of solutions to the Einstein-Maxwell equations in d-dimensions, all of which are asymptotically (anti)-de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found by Lemos (gr-qc/9404041). These solutions have toroidal, planar or cylindrical horizons and can be interpreted as black holes, or black strings/branes. We calculate the inverse temperature and entropy, and then we use the Brown-York stress-tensor to calculate mass and angular momenta of these solutions.