Reconstructing cosmological solutions in F(R) gravity. Towards a unified model of the Universe evolution

TL;DR

This paper explores how modifications to F(R) gravity can reproduce the universe's accelerated expansion and inflationary epochs, aiming to unify different phases of cosmic evolution through reconstructed models.

Contribution

It demonstrates that F(R) gravity can be reconstructed from scalar-tensor theories to replicate various cosmological solutions, including late-time acceleration and inflation.

Findings

Viable F(R) models can reproduce accelerated expansion.

Modified gravity can unify inflation and late-time acceleration.

Reconstruction from scalar-tensor theories is feasible.

Abstract

It is accepted by the majority of scientific community that the Universe is currently in an accelerated epoch. In order to explain this shock of late 90's, a lot of dark energy candidates have been proposed. We study in the context of f (R) gravity, how some modifications on General Relativity could reproduce such behavior of the cosmic evolution. It is showed that in general, an f (R) theory can be reconstructed from a non-minimal scalar-tensor theory, where a desired cosmological solution can be achieved. Some viable models are studied as well as its cosmological evolution, and the possibility that inflationary epoch is also a result of these fine modifications.