FRW Cosmology in F(R,T) gravity

TL;DR

This paper introduces a new gravitational theory called $F(R,T)$ gravity, combining curvature and torsion, and demonstrates its ability to describe the universe's accelerated expansion.

Contribution

The paper derives the $F(R,T)$ gravity model from a geometric perspective and explores its general form, including particular cases like $F(R)$ and $F(T)$ gravity.

Findings

The $F(R,T)$ gravity can model accelerated cosmic expansion.

The theory generalizes existing $F(R)$ and $F(T)$ models.

It provides a geometric foundation for combined curvature and torsion theories.

Abstract

In this paper, we consider a theory of gravity with a metric-dependent torsion namely the $F(R,T)$ gravity, where $R$ is the curvature scalar and $T$ is the torsion scalar. We study a geometric root of such theory. In particular we give the derivation of the model from the geometrical point of view. Then we present the more general form of $F(R,T)$ gravity with two arbitrary functions and give some of its particular cases. In particular, the usual $F(R)$ and $F(T)$ gravity theories are the particular cases of the $F(R,T)$ gravity. In the cosmological context, we find that our new gravitational theory can describes the accelerated expansion of the universe.