On the $\Lambda$CDM Universe in $f(G)$ gravity

Abstract

In the context of the so-called Gauss-Bonnet gravity, where the gravitational action includes function of the Gauss-Bonnet invariant, we study cosmological solutions, especially the well-known $\Lambda$CDM model. It is shown that the dark energy contribution and even the inflationary epoch can be explained in the frame of this kind of theories with no need of any other kind of component. Other cosmological solutions are constructed and the rich properties that this kind of theories provide are explored.

9 pages. Version to be published in Gen. Rel. Grav., conclusions improved and references added

References in corpus (15)

• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Construction of cosmologically viable f(G) gravity models
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity

Cited by in corpus (1)

• G-essence with Yukawa Interactions