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

TL;DR

This paper explores nonperturbative dilaton solutions in modified gravity models with Gauss-Bonnet terms, revealing Liouville-like solutions as a characteristic feature of these theories.

Contribution

It demonstrates that Liouville-like solutions are inherent to a broad class of modified gravity models including Gauss-Bonnet terms with a general F(G) Lagrangian.

Findings

Liouville-like solutions are characteristic of these models.

Presence of Gauss-Bonnet terms influences solution structure.

Nonperturbative solutions are identified in the class of models.

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.