2005/12/05 by J. Mark Heinzle, Jakob Heinzle, Claes Uggla · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Gas Dynamics and Kinetic Theory #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/10/016
published as Class.Quant.Grav. 23 (2006) 3463-3490 · 28 pages, 7 figures
arxiv created 2005/12/05 · openalex publication_date 2006/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We investigate the dynamics of spatially homogeneous solutions of the Einstein–Vlasov equations with Bianchi type I symmetry by introducing a new formulation that allows an efficient use of dynamical systems methods. We find that all models are forever expanding and that they isotropize towards the future; towards the past there exists a singularity—we identify and describe all possible past asymptotic states. In this context, we establish the existence of a heteroclinic network, which is a new type of feature in general relativity. The past asymptotic structure illustrates that the dynamics of Vlasov matter models differs significantly from that of perfect fluid models.