Bianchi Type I Cosmology in Generalized Saez-Ballester Theory via Noether Gauge Symmetry

TL;DR

This study explores a generalized scalar-tensor gravity model in anisotropic Bianchi I spacetime using Noether gauge symmetry, deriving potential functions and analyzing cosmological implications consistent with observations.

Contribution

It introduces a new application of Noether gauge symmetry to the generalized Saez-Ballester theory in Bianchi I cosmology, deriving potential functions and gauge symmetries.

Findings

Potential function for scalar field is exponential.

Model's cosmological predictions align with observational data.

Identifies constant and dynamic gauge functions.

Abstract

In this paper, we investigate the generalized Saez-Ballester scalar-tensor theory of gravity via Noether gauge symmetry (NGS) in the background of Bianchi type I cosmological spacetime. We start with the Lagrangian of our model and calculate its gauge symmetries and corresponding invariant quantities. We obtain the potential function for the scalar field in the exponential form. For all the symmetries obtained, we determine the gauge functions corresponding to each gauge symmmetry which include constant and dynamic gauge. We discuss cosmological implications of our model and show that it is compatible with the observational data.