A Derivation of the Kerr�Newman Metric Using Ellipsoid Coordinate Transformation

Abstract

The KerrNewman metric describes a special rotating charged mass and is the most general solution for the asymptotically stable black-hole solution in the EinsteinMaxwell equations in general relativity. Because these are nonlinear partial differential equations, it is difficult to find an exact analytical solution other than spherical symmetry. This study presented a new derivation of the KerrNewman metric which is an extension of the authors previous research. Using the ellipsoid symmetry of space-time in the Kerr metric, an ellipsoidal coordinate transformation method was performed and the KerrNewman metric was more intuitively obtained. The relation with this method and NewmanJanis algorithm was discussed.