Bouncing Universe and phantom crossing in Modified Gravity and its reconstruction

TL;DR

This paper explores bouncing cosmological solutions and phantom crossing in modified gravity models with arbitrary functions, demonstrating the model's ability to reproduce such phenomena and reconstruct its functions.

Contribution

It introduces a framework for bouncing universe solutions and phantom crossing in modified gravity with arbitrary functions, along with a reconstruction method for these functions.

Findings

Bouncing solutions appear in the model.

The equation of state crosses the phantom divide.

Reconstruction of arbitrary functions is achieved.

Abstract

In this paper we consider FRW cosmology in modified gravity which contain arbitrary functions $f(\phi)$. It is shown that the bouncing solution appears in the model whereas the equation of state (EoS) parameter crosses the phantom divider. The reconstruction of the model is also investigated with the aim to reconstruct the arbitrary functions and variables of the model.