Scalar Field cosmology from a Modified Poisson Algebra

We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action which arise from minisuperspace deformation on the Einstein-Hilbert action. We use a modified Poisson Algebra where Poisson brackets are the $\alpha$-deformed ones and are related to the Moyal-Weyl star product. We discuss early and late-time attractors, and we reconstruct the cosmological evolution. We show that the model can have $\Lambda$CDM model as a future attractor if we initially consider a massless scalar field without a cosmological constant term.Comment: 13 pages, 8 compound figure