  We derive linear scalar perturbation equations for Einstein-Cartan field
equations of Weyssenhoff fluid, as well as for the corresponding perturbations
of Bianchi identity and geodesic equations. The equations are given in both
conformal Newtonian and synchronous gauges. They are suitable for numerical
implementation when precise evolution of torsion and its perturbation will be
extracted from N-body cosmic simulations of the large scale structures in the
Universe. A rising number of problems of the concordance cosmological model
forces us to include the rotational degrees of freedom realized through torsion
in the Einstein-Cartan gravity.
