Five-dimensional spherically symmetric spacetime is considered in bimetric theory of gravitation formulated by Rosen (Gen. Rel. Grav. 4, 435, 1973) in the presence of cosmic string dust cloud. Exact cosmological models which represent geometric (Nambu) string, p-string (Takabayasi string) and Reddy string (Astrophys. Space Sci. 301, 2006) are obtained in the static and non-static cases. Some physical properties of the models are also discussed.
In this paper we have obtained interior solutions of the field equations for anisotropic sphere in the bimetric general relativity theory formulated by Rosen (Lett. Nuovo Cimento 25, 1979). A class of solutions for a uniform energy-density source of the field equations is presented. The analytic solutions obtained are physically reasonable, well behaved in the interior of the sphere. The solutions agree with the Einstein's general relativity for a physical system compared to the size of the universe such as the solar system.
We have considered higher dimensional cosmological models of the FRW model with variable G and . The solutions have been obtained for flat model with particular form of cosmological constant. The cosmological parameters have also been obtained for dust, radiation and stiff matter. Physical parameters of the models are discussed.
We consider a self consistent system of Bianchi Type-I cosmology and Binary Mixture of perfect fluid and dark energy. The perfect fluid is taken to be obeying equations of state p P F = γρ P F with γ ∈ [0, 1]. The dark energy is considered to be obeying a quintessence-like equation of state where the dark energy obeys equation of state 0]. Exact solutions to the corresponding Einstein field equations are obtained. Some special cases are discussed and studied. Further more power law models and exponential models are investigated.
In this present research paper, we considered cosmological model in Saez-Ballester [Phys. LettA 113, 467, 1985] theory of gravitation with stiff matter, thick domain walls. Some physical and geometrical aspects of the models have also been discussed
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