2008/02/25 by A A Coley, A. Coley, S. Hervik +1
Mathematics · Physics and Astronomy · #Bifurcation #Bifurcation theory #Black Holes and Theoretical Physics #Center manifold #High-Energy Particle Collisions Research #Manifold (fluid mechanics) #Navier-Stokes equation solutions #Perfect fluid #Type (biology) #astro-ph #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/25/19/198001
published as Class. Quantum Grav. 25 (2008) 198001 · 12 pages
arxiv created 2008/02/25 · openalex publication_date 2008/09/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the late-time behaviour of tilted perfect fluid Bianchi type III models using a dynamical systems approach. We consider models with dust, and perfect fluids stiffer than dust, and eludicate the late-time behaviour by studying the centre manifold which dominates the behaviour of the model at late times. In the dust case, this centre manifold is 3-dimensional and can be considered as a double bifurcation as the 2 parameters (h and γ) of the type VIh model are varied. We calculate the decay rates and show that for dust or stiffer the models approach a vacuum spacetime, however, it does so rather slowly: ρ/H2∼ 1/ln t.