D-dimensional metrics with D-3 symmetries

Details D-dimensional metrics with D-3 symmetries D-dimensional metrics with D-3 symmetries

2010-12-29

arxiv.org/abs/1012.6025v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

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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