From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields
General Relativity and Quantum Cosmology
2009-10-30 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/9710109,
title = {From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields},
author = {Gerard Clement},
journal= {arXiv preprint arXiv:gr-qc/9710109},
year = {2009}
}
Comments
8 pages, Latex