Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity

TL;DR

This paper explores the stability and fixed points of a six-dimensional Einstein-Gauss-Bonnet gravity model, revealing a richer non-perturbative structure with implications for cosmological acceleration.

Contribution

It demonstrates the existence of multiple stable fixed points in a non-perturbative regime, extending previous perturbative analyses of dynamical compactification.

Findings

Identification of three or one stable fixed points depending on Gauss-Bonnet coupling sign

Recovery of a four-dimensional accelerating FRW universe from higher-dimensional theory

Discovery of a richer non-perturbative structure compared to perturbative results

Abstract

Six-dimensional Einstein-Gauss-Bonnet gravity (with a linear Gauss-Bonnet term) is investigated. This theory is inspired by basic features of results coming from string and M-theory. Dynamical compactification is carried out and it is seen that a four-dimensional accelerating FRW universe is recovered, when the two-dimensional internal space radius shrinks. A non-perturbative structure of the corresponding theory is identified which has either three or one stable fixed points, depending on the Gauss-Bonnet coupling being positive or negative. A much richer structure than in the case of the perturbative regime of the dynamical compactification recently studied by Andrew, Bolen, and Middleton is exhibited.