New brane solutions in higher order gravity

TL;DR

This paper explores higher order gravity theories with dilaton fields, providing explicit solutions and classifications, including non-singular and fine-tuning free solutions, and analyzing their stability across various dimensions.

Contribution

It introduces new brane solutions in higher order gravity with string corrections, including explicit formulas and classifications, and discusses their stability and fine-tuning properties.

Findings

Existence of non-singular solutions

Classification of solutions with finite gravitational constant

Analysis of stability and fine-tuning aspects

Abstract

We consider the higher order gravity with dilaton and with the leading string theory corrections taken into account. The domain wall type solutions are investigated for arbitrary number of space-time dimensions. The explicit formulae for the fixed points and asymptotic behavior of generic solutions are given. We analyze and classify solutions with finite effective gravitational constant. There is a class of such solutions which have no singularities. We discuss in detail the relation between fine tuning and self tuning and clarify in which sense our solutions are fine-tuning free. The stability of such solutions is also discussed.