D-dimensional metrics with D-3 symmetries
arXiv:1012.6025 · doi:10.1007/s10773-011-1011-8
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-Nordström solution to a particular case of the 5-dimensional Gross-Perry metric.
8 pages