Stationary Generalization of the Bonnor Magnetic Dipole Solution

Physics

Scientific paper

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Scientific paper

An exact asymptotically flat 3-parameter solution of the Einstein--Max\-well equations is presented that reduces to the Bonnor magnetic dipole solution in the magnetostatic limit, and to the Tomimatsu-Sato $\delta=2$ solution in the stationary pure vacuum limit. This solution is the simplest possible one admitting the polynomial representation in the spheroidal coordinates ($x,y$) and able to describe the exterior field of a magnetized spinning mass. A multipole criterion for the choice of the parameters in the Einstein--Maxwell spacetimes is also formulated.

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