2007/10/31 by Naureen Goheer, Jannie A Leach, Jannie A. Leach +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc #math.DS
paper · pdf · doi:10.1088/0264-9381/24/22/026
published as Class.Quant.Grav.24:5689-5708,2007 · 21pages, revised to match published version
arxiv created 2007/11/06 · openalex publication_date 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In this paper, we study the dynamics of orthogonal spatially homogeneous Bianchi cosmologies in R n -gravity. We construct a compact state space by dividing the state space into different sectors. We perform a detailed analysis of the cosmological behaviour in terms of the parameter n , determining all the equilibrium points, their stability and corresponding cosmological evolution. In particular, the appropriately compactified state space allows us to investigate static and bouncing solutions. We find no Einstein static solutions, but there do exist cosmologies with bounce behaviours. We also investigate the isotropization of these models and find that all isotropic points are flat Friedmann-like.