Bianchi Type I ( Kasner form) Cosmological models with Perfect Fluid and Dark Energy in Modified Theory of Gravity

Abstract

A self consistent system of Bianchi type-I space-time in Kasner form gravitational field and a binary mixture of perfect fluid and dark energy in a modified theory of gravity are considered. The perfect fluid is taken to be the one obeying the usual equation of state, i.e., p = γρ, with γ ∈ [0, 1] whereas, the dark energy is considered to be either the quintessence like equation of state or Chaplygin gas. The exact solutions to the corresponding field equations are obtained for power-law and exponential volumetric expansion. The geometrical and physical parameters for both the models are studied.