Geometry of higher dimensional black holes
arXiv:1210.6191
Abstract
This article investigates higher dimensional vacuum solutions of the Einstein equations. Generalizations of the definitions of spherical and axial symmetry to higher dimensions are discussed before analyzing specific solutions bearing one of these symmetries. The effective motions of the Tangherlini metric are calculated and its Kruskal continuation is derived. Also the Myers-Perry metric is analyzed with respect to its causal and horizontal structure.