Isotropic singularities in cosmological models

Details Isotropic singularities in cosmological models Isotropic singularities in cosmological models

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2...99g&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, Jan. 1, 1985, p. 99-115. Research supported by the Natural Sciences and

Mathematics

81

Astronomical Models, Cosmology, Isotropy, Singularity (Mathematics), Space-Time Functions, Tensor Analysis, Big Bang Cosmology, Curvature, Einstein Equations, Ideal Fluids, Polynomials, Relativity

Scientific paper

Motivated by the ideas of quiescent cosmology and Penrose's (1979) Weyl-tensor hypothesis concerning the Big Bang, a geometric (and hence coordinate-independent) definition of the concept of isotropic singularity in a space-time is given. The definition generalizes previous work on quasi-isotropic and Friedmann like singularities. Some simple consequences of the definition are discussed. In particular it is shown that an isotropic singularity is a scalar-polynomial-curvature singularity at which the Weyl tensor is dominated by the Ricci tensor. Finally the Einstein field equations with irrotational perfect fluid source are imposed to permit a detailed description of the geometric structure of an isotropic singularity.

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