Naureen Goheer et al 2007 Class. Quantum Grav. 24 5689 doi:10.1088/0264-9381/24/22/026
Naureen Goheer1, Jannie A Leach1 and Peter K S Dunsby1,2
Show affiliationsIn this paper, we study the dynamics of orthogonal spatially homogeneous Bianchi cosmologies in Rn-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.
04.50.-h Higher-dimensional gravity and other theories of gravity
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
85A40 Cosmology (For relativistic cosmology, see 83F05)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 22 (21 November 2007)
Received 9 August 2007, in final form 17 September 2007
Published 6 November 2007
Naureen Goheer et al 2007 Class. Quantum Grav. 24 5689
Sang Li-Wen et al 2009 Chinese Phys. Lett. 26 117801
A Schlicht et al 1999 J. Phys.: Condens. Matter 11 L385
M Katsikini et al 2009 J. Phys.: Conf. Ser. 190 012204
Zhao Yi-Kun et al 2005 Chinese Phys. Lett. 22 2973
N. Da Rio et al. 2009 ApJS 183 261
J Kobus et al 1994 J. Phys. B: At. Mol. Opt. Phys. 27 2867
K Henkner et al 2009 Phys. Med. Biol. 54 N509
Y.-M. Wang and N. R. Sheeley, Jr. 2006 ApJ 653 708
G. J. Wasserburg and Y.-Z. Qian 2000 ApJ 529 L21