Constructive proof of the Kerr-Newman black hole uniqueness including the extreme case
General Relativity and Quantum Cosmology
2012-01-16 v3 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
A new proof of the uniqueness of the Kerr-Newman black hole solutions amongst asymptotically flat, stationary and axisymmetric electro-vacuum spacetimes surrounding a connected Killing horizon is given by means of an explicit construction of the corresponding complex Ernst potentials on the axis of symmetry. This construction, which makes use of the inverse scattering method, also works in the case of a degenerate horizon.
Keywords
Cite
@article{arxiv.1108.4854,
title = {Constructive proof of the Kerr-Newman black hole uniqueness including the extreme case},
author = {Reinhard Meinel},
journal= {arXiv preprint arXiv:1108.4854},
year = {2012}
}
Comments
14 pages, 1 figure, to appear in CQG