Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity

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dc.creatorGoheer, Naureen
dc.creatorLeach, Jannie A.
dc.creatorDunsby, Peter K. S.
dc.date2007-10-03
dc.date2007-11-06
dc.date.accessioned2026-07-07T10:57:35Z
dc.date.available2026-07-07T10:57:35Z
dc.descriptionIn this paper we study the dynamics of {\it 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 isotropisation of these models and find that all isotropic points are flat Friedmann like.
dc.description21pages, revised to match published version
dc.identifierhttps://arxiv.org/abs/0710.0814
dc.identifierhttp://arxiv.org/abs/0710.0814
dc.identifierClass.Quant.Grav.24:5689-5708,2007
dc.identifierdoi:10.1088/0264-9381/24/22/026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186801
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectDynamical Systems
dc.titleDynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
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