On smoothness of Black Saturns
High Energy Physics - Theory
2010-12-30 v1 General Relativity and Quantum Cosmology
Abstract
We prove smoothness of the domain of outer communications (d.o.c.) of the Black Saturn solutions of Elvang and Figueras. We show that the metric on the d.o.c. extends smoothly across two disjoint event horizons with topology R x S^3 and R x S^1 x S^2. We establish stable causality of the d.o.c. when the Komar angular momentum of the spherical component of the horizon vanishes, and present numerical evidence for stable causality in general.
Keywords
Cite
@article{arxiv.1007.3668,
title = {On smoothness of Black Saturns},
author = {Piotr T. Chruściel and Michał Eckstein and Sebastian J. Szybka},
journal= {arXiv preprint arXiv:1007.3668},
year = {2010}
}
Comments
47 pages, 5 figures