Abstract:
In this paper, we investigate the generalized Saez-Ballester scalar-tensor theory of grav-ity 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 fun-tions 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.
