Viable f(R) gravity and future cosmological evolution

TL;DR

This paper examines a viable f(R) gravity model, analyzing its future cosmological evolution, including a transition to the phantom phase, and explores its scalar-tensor equivalence to understand its implications.

Contribution

It provides a detailed analysis of the future evolution of a specific viable f(R) gravity model and discusses its scalar-tensor equivalence, highlighting its cosmological implications.

Findings

Transition to the phantom phase in future evolution

Viable f(R) model reproduces late-time acceleration

Scalar-tensor equivalence offers insights into model behavior

Abstract

One of the so-called viable modified gravities is analyzed. This kind of gravity theories are characterized by a well behavior at local scales, where General Relativity is recovered, while the modified terms become important at the cosmological level, where the late-time accelerating era is reproduced, and even the inflationary phase. In the present work, the future cosmological evolution for one of these models is studied. A transition to the phantom phase is observed. Furthermore, the scalar-tensor equivalence of f(R) gravity is also considered, which provides important information concerning this kind of models.