Eur. Phys. J. C (2012) 72: 1998
https://doi.org/10.1140/epjc/s10052-012-1998-x

Regular Article - Theoretical Physics

Bianchi type I cosmology in generalized Saez–Ballester theory via Noether gauge symmetry

¹ Center for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
² Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
³ School of Electrical Engineering and Computer Sciences (SEECS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

^* e-mail: d.momeni@yahoo.com

Received: 10 February 2012
Revised: 23 March 2012
Published online: 28 April 2012

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 symmetry which include constant and dynamic gauge. We discuss cosmological implications of our model and show that it is compatible with the observational data.