Study of symmetry in F(R) theory of gravity

TL;DR

This paper investigates symmetries in F(R) gravity theories with scalar fields, revealing conserved currents that could aid in modeling the universe's evolution from early times to the present.

Contribution

It identifies conditions under which a conserved current exists in F(R) gravity with scalar fields, linking coupling parameters and simplifying cosmological modeling.

Findings

Conserved current exists under specific conditions in F(R) gravity with scalar fields.

The conserved current relates coupling functions $f(\,phi)$ and $\,omega(\,phi)$.

Potential application in modeling the universe's evolution from early to late times.

Abstract

An action in which the Ricci scalar is nonminimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field. The conserved current relates the pair of arbitrary coupling parameters $f(\phi)$ and $\omega(\phi)$ with the gravitational field variable, where $\omega(\phi)$ is the Brans-Dicke coupling parameter. The existence of such conserved current may be helpful to sketch the cosmological evolution from its early age till date in a single frame.