Generating Static Black Holes in Higher Dimensional Space-Times

TL;DR

This paper extends a theorem to higher-dimensional space-times, characterizing a family of static, spherically symmetric solutions to Einstein's equations, including known solutions like Schwarzschild and Reissner-Nordstrom.

Contribution

It generalizes a recent theorem to higher dimensions, unifying various static solutions under a common family in Einstein's equations.

Findings

Schwarzschild, Reissner-Nordstrom, and monopole solutions are special cases

Theorem applies to higher-dimensional static, spherically symmetric solutions

Provides a unified framework for known solutions in higher dimensions

Abstract

In this article we extend to higher dimensional space-times a recent theorem proved by Salgado which characterizes a three-parameter family of static and spherically symmetric solutions to the Einstein Field Equations. As it happens in four dimensions, it is shown that the Schwarzschild, Reissner-Nordstrom and global monopole solutions in higher dimensions are particular cases from this family.