Advertisement

Journal of High Energy Physics

, 2010:48 | Cite as

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 

References

  1. [1]
    J.M. Bardeen, Rapidly rotating stars, disks, and black holes, Black holes/Les astres occlus, École d’ Été Phys. Théor., Les Houches (1972), Gordon and Breach, New York U.S.A. (1973) pg. 245.Google Scholar
  2. [2]
    P.T. Chrusciel and J. Cortier, Maximal analytic extensions of the Emparan-Reall black ring, arXiv:0807.2309 [SPIRES].
  3. [3]
    P.T. Chruściel and L. Nguyen, Ghost points in inverse scattering constructions of stationary Einstein metrics, (2010).Google Scholar
  4. [4]
    H. Elvang and P. Figueras, Black saturn, JHEP 05 (2007) 050 [hep-th/0701035] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  5. [5]
    H. Elvang, P. Figueras, G.T. Horowitz, V. Hubeny, and M. Rangamani, On universality in ergoregion mergers, Class. Quant. Grav. 26 (2009) 085011 [arXiv:0810.2778] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  6. [6]
    M. Galassi et al., GNU scientific library reference manual, 3rd ed., http://www.gnu.org/software/gsl.
  7. [7]
    J. Hennig, M. Ansorg and C. Cederbaum, A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter, Class. Quant. Grav. 25 (2008) 162002. CrossRefMathSciNetADSGoogle Scholar
  8. [8]
    J.M. Martín-García, xAct: Efficient tensor computer algebra, http://metric.iem.csic.es/Martin-Garcia/xAct.
  9. [9]
    R. Meinel, M. Ansorg, A. Kleinwächter, G. Neugebauer and D. Petroff, Relativistic figures of equilibrium, Cambridge University Press, Cambridge U.K. (2008).zbMATHCrossRefGoogle Scholar
  10. [10]
    A.A. Pomeransky, Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes, Phys. Rev. D 73 (2006) 044004 [hep-th/0507250] [SPIRES].MathSciNetADSGoogle Scholar
  11. [11]
    I. Racz and R.M. Wald, Global extensions of space-times describing asymptotic final states of black holes, Class. Quant. Grav. 13 (1996) 539 [gr-qc/9507055] [SPIRES].zbMATHCrossRefMathSciNetADSGoogle Scholar

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

Personalised recommendations