A space-time characterization of the Kerr-Newman metric
General Relativity and Quantum Cosmology
2009-07-22 v4
Abstract
In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr-Newman family. A simultaneous alignment of the Maxwell field, the Ernst two-form of the pseudo-stationary Killing vector field, and the Weyl curvature of the metric is shown to imply that the space-time is locally isometric to domains in the Kerr-Newman metric. The paper also presents an extension of Ionescu and Klainerman's null tetrad formalism to explicitly include Ricci curvature terms.
Keywords
Cite
@article{arxiv.0807.1904,
title = {A space-time characterization of the Kerr-Newman metric},
author = {Willie Wai-Yeung Wong},
journal= {arXiv preprint arXiv:0807.1904},
year = {2009}
}
Comments
(current version) 29 pages. Incorporated changes suggested by the anonymous referee. Resubmitted to Annales Henri Poincare