Abstract
Field equations in the presence of perfect fluid distribution are obtained in a scalar tensor theory of gravitation proposed by Brans and Dicke[1] with the aid of Bianchi type-II, VIII & IX metrics. Exact prefect fluid Bianchi type- IX cosmological model is presented since other models doesn’t exist in Brans-Dicke scalar tensor theory of gravitation. Some physical properties of the model are also discussed.
Highlights
Brans and Dicke [1] theory of gravitation is well known modified version of Einstein’s theory
The study of Bianchi type-II, VIII & IX universes are important because familiar solutions like FRW universe with positive curvature, the desitter universe, the Taub-Nut solutions etc correspond of Bianchi type-II, VIII & IX space-times
In view of the importance of Bianchi type-II, VIII & IX space- times and since exact solutions offer an alternative and complementary approach to study various cosmological models, in this paper we have presented Bianchi type-II, VIII & IX perfect fluid cosmological models in BransDicke theory of gravitation
Summary
Brans and Dicke [1] theory of gravitation is well known modified version of Einstein’s theory It is a scalar tensor theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field gij of Einstein’s theory. Rao and Sanyasi Raju [24] and Sanyasi Raju and Rao [25] have studied Bianchi type-VIII & IX models in Zero mass scalar fields and self creation cosmology. Rahaman et al [26] have investigated Bianchi type-IX string cosmological model in a scalar-tensor theory formulated by Sen [27] based on Lyra [28] manifold. In this paper we discuss Bianchi type-II, VIII & IX perfect fluid cosmological models in a scalar-tensor theory proposed by Brans and Dicke [1]
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