Maximally inhomogeneous Gödel-Farnsworth-Kerr generalizations

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.

arXiv comment4 pages, conference proceeding of Spanish Relativity Meeting (ERE 2009, Bilbao)

References in corpus (2)

• Petrov D vacuum spaces revisited: Identities and Invariant Classification
• The type N Karlhede bound is sharp