Effects of deformed phase space on scalar field cosmology

The effects of phase space deformations on standard scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables to have a deformed Poisson algebra among the coordinates and the canonical momenta. It is found that in the deformed minisuperspace model, an accelerating scale factor arises in the absence of a cosmological constant, and this acceleration is a consequence of the phase space deformation parameter $\beta$.

Figure 1

Dynamics of the deformed phase space model. In all the plots of the deformed model, ${\delta }_2={\delta }_1=0$, $\omega =0$, $\beta =1$. The thin line is for ${\eta }_0={\zeta }_0=1$, $\theta =0$; the dotted line is for ${\eta }_0={\zeta }_0=1$, $\theta =0.5$; and the dashed line is for ${\eta }_0=4$, ${\zeta }_0=0.55$, $\theta =3$. Finally, the thick line corresponds to the volume of the de Sitter space time. We can see that for large values of $t$ the behavior is the same.