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

Author: Sahu R.C.  

Publisher: Springer Publishing Company

ISSN: 0004-640X

Source: Astrophysics and Space Science, Vol.288, Iss.4, 2003-01, pp. : 601-610

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Abstract

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</i>= 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="">