Abstract

Tilted Bianchi type VI0 cosmological model is investigated in a new scalar tensor theory of gravitation pro-posed by Saez and Ballester (Physics Letters A 113:467, 1986). Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. Some physical and geometrical proper-ties of the solutions are also discussed.

Highlights

  • In recent years, there has been a considerable interest in the investigation of cosmological models in which the matter does not move orthogonally to the hyper surface of homogeneity

  • Tilted Bianchi type VI0 cosmological model is investigated in a new scalar tensor theory of gravitation proposed by Saez and Ballester (Physics Letters A 113:467, 1986)

  • The general behaviors of tilted cosmological models have been studied by King and Ellis [1], Ellis and King [2], Collins and Ellis [3], Bali and Sharma [4,5], Bali and Meena [6]

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Summary

Introduction

There has been a considerable interest in the investigation of cosmological models in which the matter does not move orthogonally to the hyper surface of homogeneity. Saez and Ballester [8] have developed a new scalar tensor theory of gravitation in which the metric is coupled with a dimensionless scalar field in a simple manner. This coupling gives satisfactory description of the weak fields. In spite of the dimensionless character of the scalar field, an anti-gravity regime appears This theory suggests a possible way to solve the missing matter problem in non-flat FRW cosmologies.

Field Equations
Solutions
Some Physical and Geometrical Properties of the Solutions
Conclusions
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