On primordial cosmological density fluctuations in the Einstein-Cartan gravity and COBE data

We study cosmological density fluctuations within a covariant and gauge-invariant fluid-flow approach for a perfect fluid in the Einstein-Cartan gravity and derive the corresponding Raychaudhuri type of inhomogeneous coupled differential evolution equations of the second order. It appears that the quantum fluctuations of spin trigger primordial density inhomogeneities at the scale of weak interactions. These inhomogeneities are then evolved precisely to the value measured by COBE mission at the scale of decoupling.