Gauss-Bonnet Brane World Gravity with a Scalar Field

TL;DR

This paper investigates a brane world gravity model incorporating Gauss-Bonnet terms and a scalar field, deriving gravitational laws at various scales and demonstrating the possibility of observationally consistent localized gravity solutions.

Contribution

It introduces a novel brane world model with higher curvature corrections and a scalar field, analyzing its gravitational behavior and observational viability.

Findings

Localized gravity solutions compatible with observations

Derivation of large and small distance gravitational laws

Existence of non-standard Newtonian potentials at large distances

Abstract

The effective four-dimensional, linearised gravity of a brane world model with one extra dimension and a single brane is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a conformally coupled scalar field. Large and small distance gravitational laws are derived. In contrast to the corresponding Einstein gravity models, it is possible to obtain solutions with localised gravity which are compatible with observations. Solutions with non-standard large distance Newtonian potentials are also described.