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Maximally inhomogeneous Gödel-Farnsworth-Kerr generalizations

arXiv:1204.1362 · doi:10.1088/1742-6596/229/1/012073

Abstract

It is pointed out that physically meaningful aligned Petrov type D perfect fluid space-times with constant zero-order Riemann invariants are either the homogeneous solutions found by Gödel (isotropic case) and Farnsworth and Kerr (anisotropic case), or new inhomogeneous generalizations of these with non-constant rotation. The construction of the line element and the local geometric properties for the latter are presented.

4 pages, conference proceeding of Spanish Relativity Meeting (ERE 2009, Bilbao)