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

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arxiv 0902.2982 v3 pith:EV7OSW7S submitted 2009-02-17 gr-qc astro-ph.CO

Christian G. Boehmer , Francisco S. N. Lobo This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords einsteingauss-bonnetstabilitystaticuniverseconsideringgravitymodified
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We analyze the stability of the Einstein static universe by considering 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 parameterized by the linear equation of state parameter w=p/rho and the second derivative f"(G) of the Gauss-Bonnet term.

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  1. Static Spherically Symmetric Solutions in General Gauss-Bonnet Gravity

    gr-qc 2025-07 reject novelty 2.0 of 10

    For R + F(G) gravity, the paper claims two static spherical vacuum solutions: a de Sitter branch and a metric B(r) = -1 + r/(4a), with F(G) = G^(3/2) + F0.

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