In this paper, we investigate the effects of non-commutative phase-space on the quintom cosmological model. In that case, we discuss about some cosmological parameters and show that they are depend on the deformation parameters. We find that the noncommutative parameter plays important role which help to re-arrange the divergency of cosmological constant. We draw time-dependent scale factor and investigate the effect of non-commutative parameters. Finally, we take advantage from non-commutative phasespace and obtain the deformed Lagrangian for the quintom model. In order to discuss some cosmological phenomena as dark energy and inflation, we employ Noether symmetry.

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The goal of this paper is to study SdS space-time and its gravitational field with consideration of the canonical form and invariants of the curvature tensor. The characteristic of [Formula: see text]-tensor identifies the type of gravitational field. Gaussian curvature quantities enunciated in terms of curvature invariants.