Generating Static Black Holes in Higher Dimensional Space-Times

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.

LaTeX. 9 pages

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• Higher dimensional dust collapse with a cosmological constant
• Properties of relativistic star in 5-D Einstein-Gauss-Bonnet gravity
• Fast and accurate analytical formulas for light propagation in general static, spherically symmetric spacetimes