The Ernst equation and ergosurfaces
General Relativity and Quantum Cosmology
2010-12-23 v2
Abstract
We show that analytic solutions of the Ernst equation with non-empty zero-level-set of lead to smooth ergosurfaces in space-time. In fact, the space-time metric is smooth near a "Ernst ergosurface" if and only if is smooth near and does not have zeros of infinite order there.
Keywords
Cite
@article{arxiv.gr-qc/0603041,
title = {The Ernst equation and ergosurfaces},
author = {Piotr T. Chrusciel and Gert-Martin Greuel and Reinhard Meinel and Sebastian J. Szybka},
journal= {arXiv preprint arXiv:gr-qc/0603041},
year = {2010}
}
Comments
23 pages, 4 figures; misprints corrected