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Phys. Rev. D 57, 4885–4889 (1998)

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

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Gérard Clément*
Departamento de Física, Universidade Federal do Espiríto Santo, Vitória, ES, Brazil

Received 29 October 1997; published in the issue dated 15 April 1998

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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.4885
DOI:
10.1103/PhysRevD.57.4885
PACS:
04.70.Bw, 04.20.Jb, 04.40.Nr

*Permanent address: Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, CNRS/URA769, Tour 22-12, Boîte 142, 4 place Jussieu, 75252 Paris cedex 05, France. Email address: gecl@ccr.jussieu.fr