Friedmann-like singularities in Szekeres' cosmological models
Open Access
- 1 January 1982
- journal article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 198 (1) , 83-90
- https://doi.org/10.1093/mnras/198.1.83
Abstract
We establish the existence of Friedmann-like singularities in a subclass of the Szekeres cosmological models which admits no Killing vector fields, and which depends on three arbitrary functions of a single variable. We describe the asymptotic properties of the solutions as the singularity is approached, for example the behaviour of the matter density, the rate of shear of the matter, and the Weyl conformal curvature tensor. The solutions are formulated in a way which permits comparison with linear perturbations of the Einstein–de Sitter solution.Keywords
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