4 research outputs found
From 2-Dimensional Surfaces to Cosmological Solutions
We construct perfect fluid metrics corresponding to spacelike surfaces
invariant under a 1-dimensional group of isometries in 3-dimensional Minkowski
space. Under additional assumptions we obtain new cosmological solutions of
Bianchi type II, VI_0 and VII_0. The solutions depend on an arbitrary function
of time, which can be specified in order to satisfy an equation of state.Comment: 12 pages, no figures, LaTeX2e, to be published in Class. Quant. Gra
D-dimensional metrics with D-3 symmetries
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.Comment: 8 page