On smoothness of Black Saturns

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.

47 pages, 5 figures

References in corpus (7)

• Black Saturn
• $\pi \pi$ Scattering in Three Flavour ChPT
• Global Extensions of Spacetimes Describing Asymptotic Final States of Black Holes
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• A universal inequality between angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter
• On Universality of Ergoregion Mergers
• Ghost points in inverse scattering constructions of stationary Einstein metrics

Cited by in corpus (7)

• Stationary Black Holes: Uniqueness and Beyond
• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• Notes on maximal slices of five-dimensional black holes
• Stable causality of Black Saturns
• Balanced electric-magnetic dihole in Kaluza-Klein theory
• Ghost points in inverse scattering constructions of stationary Einstein metrics
• Degenerating Black Saturns