Cylindrically symmetric matter distribution with a magnetic field in Einstein-Cartan theory

Earlier studies of solutions of Einstein-Cartan equations have been extended to the case where a magnetic field co-exists with the matter distribution. An exact solution of Einstein-Cartan-Maxwell equations have been obtained representing a static cylinder of perfect fluid with an axial magnetic field H and a nonzero spin density K, satisfying the equation of state psi = γ(psub(r) + psub(s) - Hsup(2)/4π), being a constant. It is noticed that as a consequence of field equations, there exists a direct relation between the pressure p, and the spin density K, indicating that an increase in pressure would enormously increase the spin density. (author)