Cosmological models with flat spatial geometry

Details Cosmological models with flat spatial geometry Cosmological models with flat spatial geometry

2000-09-25

arxiv.org/abs/gr-qc/0009084v1

Class.Quant.Grav. 17 (2000) 4685-4696

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTeX2e, IOP style. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/17/22/309

The imposition of symmetries or special geometric properties on submanifolds is less restrictive than to impose them in the full space-time. Starting from this idea, in this paper we study irrotational dust cosmological models in which the geometry of the hypersurfaces generated by the fluid velocity is flat, which supposes a relaxation of the restrictions imposed by the Cosmological Principle. The method of study combines covariant and tetrad methods that exploits the geometrical and physical properties of these models. This procedure will allow us to determine all the space-times within this class as well as to study their properties. Some important consequences and applications of this study are also discussed.

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