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BIANCHI TYPE-II COSMOLOGICAL MODELS WITH CONSTANT DECELERATION PARAMETER

C. P. SINGH

Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi – 110042, India

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and

SURESH KUMAR

Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi – 110042, India

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https://doi.org/10.1142/S0218271806007754Cited by:63 (Source: Crossref)

Abstract

A special law of variation for Hubble's parameter in anisotropic space–time models that yields a constant value of the deceleration parameter is presented. Also, a spatially homogeneous and anisotropic but locally rotationally symmetric (LRS) Bianchi type-II cosmological model is studied with a perfect fluid and constant deceleration parameter. Assuming the equation of state p = γρ, where 0≤γ≤1, and using a special law of variation for the Hubble parameter, we are able to construct many new solutions to Einstein's field equations of LRS Bianchi type-II for four different physical models (dust, radiation, Zel'dovich and vacuum). We discuss the solutions with power-law and exponential expansion and examine a particular class of models. A detailed study of kinematic, geometrical and observational properties is carried out.

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