Cosmological Consequences of Equation of State Parameterizations in Mimetic Gravity

Abstract

This thesis is devoted to study the cosmic aspects of the evolving uni- verse by taking into account mimetic gravity. Mimetic gravity is a Weyl- symmetric expansion of general relativity linked by a single disformal trans- formation, in which the presence of a dust-like perfect fluid may be used to imitate cold dark matter on a cosmic scale. We consider three well-knows equation of state parameterizations in terms of redshift function. Using mimetic gravity energy density, we calculate the potential, coincidence pa- rameter and deceleration parameter for all parametrization models with the help of energy conservation equation, Lagrange multiplier and normal- ized Hubble parameter. Considering the observational values of parameters in parametrization models, we get some useful results for the underlying scenario.