Journal of High Energy Physics

, 2010:48

On smoothness of black saturns

  • Piotr T. Chruściel
  • Michał Eckstein
  • Sebastian J. Szybka
Open Access
Article

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 \( \mathbb{R} \times {S^3} \) and \( \mathbb{R} \times {S^1} \times {S^2} \). 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

Black Holes Spacetime Singularities 

Copyright information

© The Author(s) 2010

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Piotr T. Chruściel
    • 1
  • Michał Eckstein
    • 2
  • Sebastian J. Szybka
    • 3
  1. 1.Gravitational PhysicsUniversity of ViennaViennaAustria
  2. 2.M.Smoluchowski Institute of PhysicsJagellonian UniversityKrakwPoland
  3. 3.Astronomical ObservatoryJagellonian UniversityKrakówPoland

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