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

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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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