Static magnetovac solutions of Einstein-Maxwell equations from stationary gravitational fields

Abstract

An asymptotically flat solution of the static Einstein-Maxwell field equations for a mass possessing a magnetic dipole moment is constructed from the stationary gravitational solutions of Einstein’s equations using the technique of Das and Chaudhuri. The generated solutions contain monopole, dipole and other higher-mass multipoles. In the absence of magnetic field, the solution reduces to the Schwarzschild metric in the static limit. For a particular value of the magnetic parameter, the solution describes the magnetic dipole moment of a massless source. It is also shown in the paper that using the Kerr metric as seed, Bonnor’s magnetostatic solutions are reproduced faithfully by the Das and Chaudhuri technique.