Axially symmetric stationary solutions of Einstein-Maxwell equations

Mathematics

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Einstein Equations, Field Theory (Physics), Gravitational Fields, Maxwell Equation, Symmetry, Singularity (Mathematics), Spheres

Scientific paper

A scheme is presented by which one can obtain static electrovac exterior solutions from the stationary gravitational fields given by Kerr (1963) and Tomimatsu and Sato (1973). A five-parameter solution of the combined Einstein-Maxwell equations is given that describes a source containing mass, electric charge, magnetic dipole, higher multipole moments of all three kinds, and angular momentum. These are generated by using Kinnersley's method from Wang's (1974) electrovac solutions, which, in turn, were generated from the gravitational fields of Tomimatsu and Sato for delta = 2-3. All the solutions are asymptotically flat.

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