A Note on the Viability of Gauss-Bonnet Cosmology

Abstract

In this paper, we analyze the viability of a vacuum Gauss-Bonnet cosmology by examining the dynamics of the homogeneous and anisotropic background in 4+1 dimensions. The trajectories of the system either originate from the standard singularity or from non-standard type, the later is characterized by the divergence of time derivative of the Hubble parameters for its finite value. At the onset, the system should relax to Einstein phase at late times as the effect of Gauss-Bonnet term becomes negligible in the low energy regime. However, we find that most of the trajectories emerging from the standard big-bang singularity lead to future re-collapse whereas the system beginning its evolution from the non-standard singularity enters the Kasner regime at late times. This leads to the conclusion that the measure of trajectories giving rise to a smooth evolution from a standard singularity to the Einstein phase is negligibly small for generic initial conditions.

6 latex pages, 4 eps figures, typos corrected and references added, final version to appear in Phys. Lett. B

References in corpus (7)

• Dynamics of dark energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Ghost conditions for Gauss-Bonnet cosmologies
• Cosmologies from higher-order string corrections

Cited by in corpus (8)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Construction of cosmologically viable f(G) gravity models
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• A note on differences between (4+1)- and (5+1)-dimensional anisotropic cosmology in the presence of the Gauss-Bonnet term
• The dynamics of the flat anisotropic models in the Lovelock gravity. I: The even-dimensional case
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Inflation in Higher Dimensional Gauss-Bonnet Cosmology