Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids

Abstract

In this paper, we consider homogeneous and isotropic noncommutative cosmological models induced by a symplectic formalism coupled to phantom perfect fluids and a cosmological constant. After computing the field equations, we solve them to find the scalar factor dynamics. We restrict our attention to expansive solutions that may represent the present expansion of our Universe. These solutions generate big rip singularities. We study how the parameters, of these models, modify the time it takes for the scalar factor to expand from zero till infinity, at the big rip.