From 2-Dimensional Surfaces to Cosmological Solutions
arXiv:gr-qc/0311079 · doi:10.1007/s10714-005-0016-0
Abstract
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.
12 pages, no figures, LaTeX2e, to be published in Class. Quant. Grav