G_2 cosmological models separable in non-comoving coordinates

Abstract

We study new separable orthogonally transitive abelian G_2 on S_2 models with two mutually orthogonal integrable Killing vector fields. For this purpose we consider separability of the metric functions in a coordinate system in which the velocity vector field of the perfect fluid does not take its canonical form, providing thereby solutions which are non-separable in comoving coordinates in general. Some interesting general features concerning this class of solutions are given. We provide a full classification for these models and present several families of explicit solutions with their properties.

latex, 26 pages, accepted for publication in Class. Quantum Grav

References in corpus (2)

• G_2 Perfect-Fluid Cosmologies with a proper conformal Killing vector
• Limits of the energy-momentum tensor in general relativity

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