A self consistent solution to the Einstein Maxwell Dirac Equations

Abstract

A self consistent solution to Dirac equation in a Kerr Newman space-time with $M^2>a^2+Q^2$ is presented for the case when the Dirac particle is the source of the curvature and the electromagnetic field. The solution is localised, continuous everywhere and valid only for a special choice of the parameters appearing in the Dirac equation.

Revtex4, 5 pages. Corrected typos