Generating Generalized $G_{D-2}$ solutions

Details Generating Generalized $G_{D-2}$ solutions Generating Generalized $G_{D-2}$ solutions

2008-04-09

arxiv.org/abs/0804.1505v2

Phys.Rev.D77:124021,2008

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 16 (ps, eps) figures. Minor changes: some references and acknowledgments added. Fits the printed version to appear i

Scientific paper

10.1103/PhysRevD.77.124021

We show how one can systematically construct vacuum solutions to Einstein field equations with $D-2$ commuting Killing vectors in $D>4$ dimensions. The construction uses Einstein-scalar field seed solutions in 4 dimensions and is performed both for the case when all the Killing directions are spacelike, as well as when one of the Killing vectors is timelike. The later case corresponds to generalizations of stationary axially symmetric solutions to higher dimensions. Some examples representing generalizations of known higher dimensional stationary solutions are discussed in terms of their rod structure and horizon locations and deformations.

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