Stability of certain spatially homogeneous cosmological models

Details Stability of certain spatially homogeneous cosmological models Stability of certain spatially homogeneous cosmological models

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..409b&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, May 1985, p. 409-415.

Mathematics

Logic

12

Asymptotic Properties, Cosmology, Einstein Equations, Relativity, Space-Time Functions, Systems Stability, Astronomical Models, Background Radiation, Ideal Fluids, Vacuum

Scientific paper

The behavior of the general cosmological solutions of the Einstein field equations at late cosmic times (far from any initial singularity) is investigated analytically, with a focus on three spatially homogeneous vacuum solutions (Lukash, 1975; Collinson and French, 1967; and Ellis and MacCallum, 1969). Stability criteria are derived and applied, and all three models are found to be generic as t goes to infinity in a vacuum and for many perfect-fluid sources. The implications of this finding for the observation of the present structure of the microwave-background temperature anisotropy are indicated.

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