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Phys. Rev. D 79, 067504 (2009) [4 pages]

Stability of the Einstein static universe in modified Gauss-Bonnet gravity

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Christian G. Böhmer*
Department of Mathematics and Institute of Origins, University College London, Gower Street, London WC1E 6BT, United Kingdom

Francisco S. N. Lobo
Centro de Astronomia e Astrofísica da Universidade de Lisboa, Campo Grande, Edificio C8 1749-016 Lisboa, Portugal

Received 18 February 2009; published 30 March 2009

We analyze the stability of the Einstein static universe by considering linear homogeneous perturbations in the context of f(G) modified Gauss-Bonnet theories of gravity. By considering a generic form of f(G), the stability region of the Einstein static universe is parametrized by the linear equation of state parameter w=p/ρ and the second derivative f′′(G) of the Gauss-Bonnet term.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.067504
DOI:
10.1103/PhysRevD.79.067504
PACS:
04.50.Kd, 04.20.Jb, 04.25.Nx

*c.boehmer@ucl.ac.uk

flobo@cosmo.fis.fc.ul.pt