Rotating spin-polarized cylinder in Einstein–Cartan theory

Abstract

The field equations of Einstein–Cartan theory are solved to describe the gravitational field due to a rotating spin-polarized cylindrical perfect fluid distribution with the proper choice of stress-energy-momentum tensor of Ray and Smalley. We show that the interior metric can be matched to an exterior vacuum using the Arkuszewski–Kopczynski–Ponomariev (AKP) matching conditions. We also discuss the nature of the singularity in the matter region.