An explicit global covering of the Schwarzschild-Tangherlini black holes
Kayll Lake
TL;DR
This paper introduces explicit regular coordinate systems that comprehensively cover higher-dimensional Schwarzschild black holes, extending known solutions and simplifying their analysis.
Contribution
The paper provides explicit, regular coordinate systems for all Tangherlini solutions, generalizing Israel coordinates to higher dimensions.
Findings
Coordinates cover entire black hole spacetime
Coordinates reduce to Israel coordinates in four dimensions
Facilitates analysis of higher-dimensional black holes
Abstract
Explicit regular coordinates that cover all of the Tangherlini solutions (Schwarzschild black holes of dimension ) are given. The coordinates reduce to Israel coordinates for D=4.
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