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From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields

Gerard Clement
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Abstract

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.

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BibTeXRIS

Gerard Clement. 1997-10-23. From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields. https://doi.org/10.1103/physrevd.57.4885

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