Stability analysis of the exponential solutions in Lovelock cosmologies

TL;DR

This paper analyzes the stability of exponential solutions in Lovelock cosmologies, identifying which configurations are stable and relevant for compactification, with detailed parameter space exploration.

Contribution

It provides a comprehensive stability analysis of exponential solutions in Einstein-Gauss-Bonnet and cubic Lovelock gravity, highlighting the limited stable cases and their characteristics.

Findings

Few solutions are stable, mainly those with three-dimensional isotropic subspace.

Stable solutions are reduced in number in cubic Lovelock gravity.

Parameter space regions for stability are mapped and discussed.

Abstract

In this paper we perform stability analysis for exponential solutions in Einstein-Gauss-Bonnet and cubic Lovelock gravity. We report our findings, provide areas on parameters space and discuss familiarities and differences between cases. Analysis suggests that only several cases out of numerous found solutions could be called stable. In particular, cases with three-dimensional isotropic subspace which could give rise to successful compactification are diminished to one general case and one additional partial solution in the cubic Lovelock case.