Mimetic matter in LRS Bianchi type-I model

This paper deals with the locally rotationally symmetric (LRS) Bianchi type-I universe model in Mimetic Gravity Theory assuming it is an extended form of General Relativity Theory. It was developed as a conformal transformation of the Einstein-Hilbert action from the Einstein frame to the Jordon frame. First, we have proposed a potential function to clarify the expansion of our universe by considering the general solutions of the field equations that originate from the action of the theory, including the Lagrange multipliers. Lastly, after having achieved the general equation of the state parameter v, we discussed whether the result corresponds to some fluids illuminating the expansion of the Universe or not.