Non-static conformally flat spherically symmetric space-times in Einstein–Cartan theory

Abstract

Abstract By exploiting the null tetrad formalism of Jogia and Griffiths and the technique of differential forms on a non-Riemannian space-time, non-static conformally flat, Petrov-type D, spherically symmetric solutions of the Einstein–Cartan field equations; when Weyssenhoff fluid is the source of curvature and spin, are obtained. In general, the solution is expanding, accelerating, rotating and non-shearing. However, the dynamic solution is expanding and rotating with zero acceleration and shear; whereas the static solution is accelerating and rotating with ‘expansion free and shear free “congruences” ’.