Eur. Phys. J. C (2008) 58: 171-177
https://doi.org/10.1140/epjc/s10052-008-0734-z

Regular Article - Theoretical Physics

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

Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil

^* e-mail: petrov@fisica.ufpb.br

Received: 12 August 2008
Revised: 23 August 2008
Published online: 24 September 2008

Abstract

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