Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 24, Issue 22, Pages 5689-5708Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/24/22/026
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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.
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