On cosmic acceleration in four dimensional Einstein-Gauss-Bonnet gravity

TL;DR

This paper investigates whether the Gauss-Bonnet term alone can cause cosmic acceleration and super-acceleration in four-dimensional FLRW cosmology, analyzing transition phases and conditions for acceleration at late times.

Contribution

It demonstrates that the Gauss-Bonnet invariant can drive late-time cosmic acceleration in four-dimensional Einstein-Gauss-Bonnet gravity under specific conditions.

Findings

Gauss-Bonnet term can induce acceleration at low redshift

Transitions from deceleration to acceleration are possible

Conditions for super-acceleration are identified

Abstract

We study the possibility that in the model introduced in \cite{GBN}, the Gauss-Bonnet term alone gives rise to the cosmic acceleration and super-acceleration in four-dimensional FLRW space-time at the late time. We also discuss transitions from deceleration to acceleration and acceleration to super-acceleration. We show that the Gauss-Bonnet invariant can drive the acceleration in the low redshift provided that its regularized coefficient has the same order as the squared of the ratio of the reduced Planck mass to the Hubble parameter.