Some Models of Cyclic and Knot Universes

摘要: In this paper, we obtained a class of oscillatory, cyclic and knot type solutions from the non-linear Friedmann equations. This is performed by choosing specific forms energy density pressure matter. All expressions written here are in dimensionless form. We show that evolutionary path taken spatial coordinates model follow various knots, specifically trefoil eight-knots. provide several examples plot relevant cosmological parameters figures. Our models can be interpreted as periodic model, such early late time acceleration unified under same mechanism.