f(R) scalar-tensor cosmology by Noether symmetry

TL;DR

This paper employs Noether symmetry to identify viable f(R) scalar-tensor cosmological models, deriving specific functions and equations that align with symmetry principles and cosmological parameters.

Contribution

It introduces a method to determine f(R) and related functions in scalar-tensor cosmology using Noether symmetry, providing a systematic approach to model selection.

Findings

Derived explicit forms of f(R) consistent with symmetry

Obtained differential equations for H(a)

Identified conditions for scalar potential and parameters

Abstract

In the framework of f(R) scalar-tensor cosmology, we use the Noether symmetry approach to find the cosmological models consistent with the Noether symmetry. We obtain the functions f(R) and H(a), or the corresponding differential equations, according to specific choices for the scalar field potential V(\phi), the Brans-Dicke function \omega(\phi), some cosmological parameters, and the constants of motion.