Noether Symmetry of the Hyperextended Scalar Tensor theory for the FLRW models

TL;DR

This paper investigates the conditions under which the Hyperextended Scalar Tensor theory in FLRW cosmological models admits a Noether symmetry, and derives the corresponding symmetry-generating vector fields.

Contribution

It identifies specific conditions for Noether symmetry in Hyperextended Scalar Tensor theories within FLRW models and explicitly derives the associated symmetry vectors.

Findings

Conditions for Noether symmetry are established.

Explicit form of symmetry-generating vectors derived.

Provides groundwork for conserved quantities in these models.

Abstract

We study in which conditions the Hyperextended Scalar Tensor theory in an FLRW background admits a Noether symmetry and derive the vectors field generating it.