On the Einstein-Cartan cosmology vs. Planck data
  The first comprehensive analyses of Planck data reveal that the cosmological
model with dark energy and cold dark matter can satisfactorily explain the
essential physical features of the expanding Universe. However, the inability
to simultaneously fit large and small scale TT power spectrum, scalar power
index smaller than one and the observations of the violation of the isotropy
found by few statistical indicators of the CMB, urge theorists to search for
explanations. We show that the model of the Einstein-Cartan cosmology with
clustered dark matter halos and their corresponding clustered angular momenta
coupled to torsion, can account for small scale - large scale discrepancy and
larger peculiar velocities (bulk flows) for galaxy clusters. The nonvanishing
total angular momentum (torsion) of the Universe enters as a negative effective
density term in the Einstein-Cartan equations causing partial cancellation of
the mass density. The integrated Sachs-Wolfe contribution of the
Einstein-Cartan model is negative, thus it can provide partial cancellation of
the large scale power of the TT CMB spectrum. The observed violation of the
isotropy appears as a natural ingredient of the Einstein-Cartan model caused by
the spin densities of light Majorana neutrinos in the early stage of the
evolution of the Universe and bound to the lepton CP violation and
matter-antimatter asymmetry.
