Uniqueness of the non-singular family and characterisation of cosmological models

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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TeX pages 13, IUCAA-14/94

Scientific paper

We prove that for an orthogonal spacetime metric separable in space and time
in comoving coordinates, the requirements of perfect fluid and non-singularity
single out the unique family of singularity free cosmological models. Further
homogeneous models could only be Bianchi I or FLRW while inhomogeneous ones can
be with or without a singularity.

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