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

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

1997-10-23

arxiv.org/abs/gr-qc/9710109v1

Phys.Rev. D57 (1998) 4885-4889

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Latex

Scientific paper

10.1103/PhysRevD.57.4885

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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