Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications

Abstract

We investigate nonperturbative dilatonic solutions of the wide class of the modified gravity models including the Gauss-Bonnet terms with a general $F(G)$ Lagrangian. We show that presence of the Liouville-like solutions is a characteristic feature of these models.

10 pages, minor corrections, version accepted to Eur. Phys. J. C

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• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Supersymmetric extensions of k-field models
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• Acceleration of the universe in matter dominant era by conformal symmetry breaking