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Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric

1998/11/16 by A. D. Rendall, A D Rendall, K. P. Tod +1 · 4 citations
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #Material Science and Thermodynamics #Statistical Mechanics and Entropy #gr-qc

paper · pdf · doi:10.1088/0264-9381/16/6/305

published as Class.Quant.Grav. 16 (1999) 1705-1726 · 27 pages, 3 figures, LaTeX

arxiv created 1998/11/16 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The dynamics of a class of cosmological models with collisionless matter and four Killing vectors is studied in detail and compared with that of corresponding perfect fluid models. In many cases it is possible to identify asymptotic states of the spacetimes near the singularity or in a phase of unlimited expansion. Bianchi type II models show oscillatory behaviour near the initial singularity which is, however, simpler than that of the mixmaster model.

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