Abstract
The paper deals with spatially homogeneous anisotropic Bianchi type II, VIII , and IX dark energy cosmological models filled with perfect fluid in the framework of Saez-Ballester (1986) theory, and Einstein's general relativity. Assuming that the two sources interact minimally and therefore their energy momentum tensors are conserved separately, we have considered different cases and presented anisotropic as well as isotropic cosmological models. Some important physical and geometrical features of the models, thus obtained, have been discussed.
Highlights
Saez and Ballester [1] formulated a scalar tensor theory of gravitation in which the metric is coupled with a dimensionless scalar field in a simple manner
We have presented spatially homogeneous anisotropic Bianchi type II, VIII and IX as well as isotropic space times filled with perfect fluid and dark energy” (DE) possessing dynamical energy density in Saez-Ballester [1] scalar-tensor theory of gravitation and general relativity
For Bianchi type VIII and IX cosmological models, we observe that the spatial volume increases as time increases and the models have no initial singularity at t = 0
Summary
Saez and Ballester [1] formulated a scalar tensor theory of gravitation in which the metric is coupled with a dimensionless scalar field in a simple manner. In spite of the dimensionless character of the scalar field an antigravity regime appears This theory suggests a possible way to solve missing matter problem in nonflat FRW cosmologies. Rao et al [2] and Rao et al [3, 4] are some of the authors who have investigated several aspects of the cosmological models in Saez-Ballester [1] scalar tensor theory. Reddy et al [38] have discussed five dimensional dark energy models in a Saez-Ballester [1] scalar tensor theory. We will discuss minimally interacting perfect fluid and dark energy Bianchi type II, VIII, and IX space-times in a scalar tensor theory of gravitation proposed by Saez and Ballester [1] and general theory of gravitation
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