A static spherically symmetric solution in Einstein–Cartan theory of gravitation

Abstract

A static spherically symmetric solution of Einstein–Cartan field equations is obtained by using the techniques of differential forms. The solution is proved to be expansion free, shear free and rotating with nonzero acceleration. The pressure and density have been influenced by the spin. The solution is algebraically special Petrov-type D. In the absence of spin, the solution reduces to the solution of Prasanna (Phys Rev D 11:2076 1975).