Bianchi type-II space-times with constant deceleration parameter in self creation cosmology

Mathematics – Logic

Scientific paper

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Hubble&Rsquo, S Parameter, Bianchi Space-Times, Deceleration Parameter, Cosmological Models

Scientific paper

The properties of locally rotationally symmetric Bianchi type-II perfect fluid space-times are analyzed in Barber’s second self-creation theory by using a special law of variation for Hubble’s parameter that yields a constant value of deceleration parameter. By assuming the equation of state p= γ ρ, many new solutions are obtained for different era—Zel’dovich, radiation, vacuum and vacuum energy dominated. The solutions with power-law and exponential expansion are discussed. A detailed study of geometrical and physical parameters is carried out. The nature of singularity is also clarified in each case.

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