Bianchi Type-1 vacuum models in modified theory of general relativity

Astronomy and Astrophysics – Astrophysics

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In this paper, the problem of spatially homogeneous and anisotropic Bianchi type-1 space time with perfect fluid distribution is considered in Barber's second theory of gravitation. To obtain determinate solutions, we have assumed the equation of state p= γρ, 0 <= γ <= 1. It is observed that the general fluid distribution degenerates isotropic vacuum model when γ = 1 and Λ < 0. Further it is observed that the vacuum model obtained in case of γ = 0, ρ = 0 and Λ = 0, reduces to well known Kasner model in Einstein's theory. Some physical and geometrical aspects of the models together with singularities in the models are also discussed

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