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]
Summary
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.
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