From Schwarzschild to Kerr: Generating spinning Einstein–Maxwell fields from static fields
نویسنده
چکیده
The Kerr solution is generated from the Schwarzschild solution by a simple combination of real global coordinate transformations and of invariance transformations acting on the space of stationary solutions of the Einstein–Maxwell equations. The same transformation can be used to generate a spinning field configuration from any static axisymmetric configuration. We illustrate this by generating from the continuous family of Voorhees–Zipoy vacuum solutions a family of solutions endowed with mass, angular momentum, dipole magnetic moment and quadrupole electric moment. ∗Permanent address: Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, CNRS/URA769, Tour 22-12, Bôıte 142, 4 place Jussieu, 75252 Paris cedex 05, France. E-mail: [email protected].
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