Characterisation of orthogonal perfect fluid cosmological spacetimes

Details Characterisation of orthogonal perfect fluid cosmological spacetimes Characterisation of orthogonal perfect fluid cosmological spacetimes

1994-08-31

arxiv.org/abs/gr-qc/9408038v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

TeX pages 18, IUCAA-27/94

Scientific paper

We consider the general orthogonal metric separable in space and time variables in comoving coordinates. We then characterise perfect fluid models admitted by such a metric. It turns out that the homogeneous models can only be either FLRW or Bianchi I while the inhomogeneous ones can only admit $G_2 $ (two mutually as well as hypersurface orthogonal spacelike Killing vectors) isometry. The latter can possess singularities of various kinds or none. The non-singular family is however unique and cylindrically symmetric.

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