Metric of a rotating, charged, magnetized, deformed mass

Abstract

An exact asymptotically flat five-parameter solution of the Einstein-Maxwell equations generalizing the well-known Kerr-Newman metric is obtained in an explicit form. In addition to the independent parameters of mass, angular momentum, and electric charge it also contains two other arbitrary parameters associated with the magnetic dipole and mass-quadrupole moments of the source. An important peculiar feature of this solution that distinguishes it from other solutions for a magnetized rotating mass recently discussed in the literature is its symmetry with respect to the equatorial plane of the source in the general case.