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

TL;DR

This paper explores how $f(G)$ gravity, involving functions of the Gauss-Bonnet invariant, can naturally produce cosmological phenomena like dark energy and inflation without additional components.

Contribution

It demonstrates that $f(G)$ gravity can reproduce the $ ext{Lambda}$CDM model and other cosmological solutions, highlighting its potential as a unified framework.

Findings

$f(G)$ gravity can explain dark energy without extra components

The inflationary epoch can be modeled within $f(G)$ theories

Multiple cosmological solutions are constructed and analyzed

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.