  We study a cosmological model based on the canonical Hamiltonian
transformation theory. Using a linear-quadratic approach for the free
gravitational De Donder-Weyl Hamiltonian $H_\mathrm{Gr}$, the model contains
terms describing a deformation of an AdS spacetime and a fully anti-symmetric
torsion in addition to Einstein's theory. The resulting extension of the
Einstein-Cartan theory depends on two initially unknown constants,
$\Omega_\mathrm{g}$ and $\Omega_\mathrm{s}$. Given an appropriate choice of
these parameters resulting from the analysis of asymptotics, numerical
calculations were performed with $\Omega_\mathrm{\Lambda} = 0$. Values from the
Planck Collaboration were used for all other required cosmological parameters.
In this way, it is shown that torsion can explain phenomena commonly attributed
to dark energy, and thus can replace Einstein's cosmological constant.
