On the Ernst electro-vacuum equations and ergosurfaces
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
The question of smoothness at the ergosurface of the space-time metric constructed out of solutions (E,phi) of the Ernst electro-vacuum equations is considered. We prove smoothness of those ergosurfaces at which Re(E) provides the dominant contribution to f=-(Re(E)+|phi|^2) at the zero-level-set of f. Some partial results are obtained in the remaining cases: in particular we give examples of leading-order solutions with singular isolated "ergocircles".
Keywords
Cite
@article{arxiv.0708.1169,
title = {On the Ernst electro-vacuum equations and ergosurfaces},
author = {Piotr T. Chruściel and Sebastian J. Szybka},
journal= {arXiv preprint arXiv:0708.1169},
year = {2008}
}
Comments
15 pages, no figures, minor changes