Thermodynamic of Distorted Reissner-Nordstr\"om Black Holes in Five-dimensions

TL;DR

This paper investigates the mechanics and thermodynamics of five-dimensional distorted Reissner-Nordström black holes influenced by external matter, providing new solutions to Einstein-Maxwell equations with specific symmetries.

Contribution

It introduces a new solution describing distorted, charged black holes in five dimensions, expanding understanding of their thermodynamic properties under external distortions.

Findings

Derived a new Einstein-Maxwell solution for distorted black holes

Analyzed thermodynamic properties of these black holes

Explored effects of external matter on black hole mechanics

Abstract

In this paper, we study mechanics and thermodynamics of distorted, five-dimensional, electrically charged (non-extremal) black holes on the example of a static and "axisymmetric" black hole distorted by external, electrically neutral matter. Such a black hole is represented by the derived here solution of the Einstein-Maxwell equations which admits an $\mathbb{R}^1\times U(1)\times U(1)$ isometry group. We study the properties of this distorted black hole.