D-dimensional metrics with D-3 symmetries
General Relativity and Quantum Cosmology
2016-02-12 v2
Abstract
Hidden symmetry transformations of D-dimensional vacuum metrics with D-3 commuting Killing vectors are studied. We solve directly the Einstein equations in the Maison formulation under additional assumptions. We relate the 4-dimensional Reissner-Nordstr\"om solution to a particular case of the 5-dimensional Gross-Perry metric.
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Cite
@article{arxiv.1012.6025,
title = {D-dimensional metrics with D-3 symmetries},
author = {A. Szereszewski and J. Tafel and M. Jakimowicz},
journal= {arXiv preprint arXiv:1012.6025},
year = {2016}
}
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8 pages