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

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.

major revision, 17 pages, typos corrected, accepted by Physics of the Dark Universe

References in corpus (6)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Dust collapse in 4D Einstein-Gauss-Bonnet gravity
• Limits on stellar structures in Lovelock theories of gravity
• Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology

Cited by in corpus (10)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Thin accretion disks around rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Quintessence in the Weyl-Gauss-Bonnet model
• The Integrated Sachs-Wolfe Effect in 4D Einstein-Gauss-Bonnet Gravity
• Anisotropy in constraint 4D Gauss-Bonnet gravity
• Early dark energy and scalarization in a scalar-tensor model
• Constraints on Multicomponent Dark Energy from Cosmological Observations
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• Mass Varying Neutrino Oscillation in Scalar-Gauss-Bonnet Gravity