Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry

TL;DR

This paper explores scalar-tensor cosmology incorporating an inverse curvature correction, using Noether symmetry to determine the forms of coupling and potential, leading to exact cosmological solutions.

Contribution

It introduces a method to select specific forms of coupling and potential in scalar-tensor theories with R^{-1} correction via Noether symmetry, enabling exact solutions.

Findings

Identifies symmetry conditions that constrain coupling and potential functions.

Derives exact cosmological solutions consistent with the symmetry.

Provides a framework for analyzing modified gravity models with curvature corrections.

Abstract

We discuss scalar-tensor cosmology with an extra $R^{-1}$ correction by the Noether Symmetry Approach. The existence of such a symmetry selects the forms of the coupling $\omega(\phi)$, of the potential $V(\phi)$ and allows to obtain physically interesting exact cosmological solutions.