1998/12/02 by J. Wainwright, Matthew Hancock, M. J. Hancock +2 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #gr-qc
paper · pdf · doi:10.1088/0264-9381/16/8/302
published as Class.Quant.Grav. 16 (1999) 2577-2598 · 29 pages
arxiv created 1998/12/02 · openalex publication_date 1999/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study the late-time evolution of a class of exact anisotropic cosmological solutions of Einstein's equations, namely spatially homogeneous cosmologies of Bianchi type VII 0 with a perfect fluid source. We show that, in contrast to models of Bianchi type VII h which are asymptotically self-similar at late times, Bianchi VII 0 models undergo a complicated type of self-similarity breaking. This symmetry breaking affects the late-time isotropization that occurs in these models in a significant way: if the equation of state parameter satisfies (4/3) the models isotropize as regards the shear but not as regards the Weyl curvature. Indeed, these models exhibit a new dynamical feature that we refer to as Weyl curvature dominance : the Weyl curvature dominates the dynamics at late times. By viewing the evolution from a dynamical systems perspective we show that, despite the special nature of the class of models under consideration, this behaviour has implications for more general models.