FRW Cosmological Models in a Saez-Ballester's Scalar-tensor Theory of Gravitation

Abstract

Explicit field equations of a scalar tensor theory of gravitation proposed by Saez and Ballester are obtained with an aid of a five dimensional FRW metric in the presence of perfect fluid source. Exact solutions of the field equations are derived when the metric potentials are functions of cosmic time only. The model reduces to curvature free (k=0) expanding stiff fluid cosmological model. Some physical and geometric properties of the solutions are also discussed.