Accelerating vacua in Gauss-Bonnet gravity

TL;DR

This paper explores accelerating vacuum solutions in Einstein and Gauss-Bonnet gravity, revealing how acceleration influences the effective cosmological constants differently in these theories.

Contribution

It derives new accelerating vacuum solutions in Einstein and Gauss-Bonnet gravities, highlighting the distinct effects of acceleration on the cosmological constants.

Findings

In Einstein gravity, acceleration shifts the cosmological constant.

In Gauss-Bonnet gravity, the effective cosmological constant remains unchanged by acceleration.

Maximally symmetric sections are used to construct these solutions.

Abstract

Accelerating vacua with maximally symmetric, but not necessarily spherical, sections for Einstein and Gauss-Bonnet gravities in generic dimensions are obtained. The acceleration parameter has the effect of shifting the cosmological constants in Einstein gravity, whereas in Gauss-Bonnet gravity the effective cosmological constants remain the same in the presence of acceleration as in the case without acceleration.