Strong Cosmic Censorship and eigenvalue repulsions for rotating de Sitter black holes in higher-dimensions

被引:8
作者
Davey, Alex [1 ,2 ]
Dias, Oscar J. C. [1 ,2 ]
Rodgers, Paul [1 ,2 ]
Santos, Jorge E. [3 ]
机构
[1] Univ Southampton, STAG Res Ctr, Univ Rd, Southampton SO17 1BJ, Hants, England
[2] Univ Southampton, Math Sci, Univ Rd, Southampton SO17 1BJ, Hants, England
[3] Univ Cambridge, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
基金
欧洲研究理事会;
关键词
Black Holes; Classical Theories of Gravity; QUASI-NORMAL MODES; STABILITY; INSTABILITIES; INTERIOR; ENERGY; SCALAR; SPACE;
D O I
10.1007/JHEP07(2022)086
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
It has been established that Christodoulou's formulation of Strong Cosmic Censorship (SCC) is violated by Reissner-Nordstrom-de Sitter black holes, but holds in four-dimensional Kerr-de Sitter black holes. We show that SCC is also respected by equal angular momenta (cohomogeneity-1) Myers-Perry-de Sitter (MP-dS) in odd d >= 5 spacetime dimensions. This suggests that the preservation of SCC in rotating backgrounds might be a universal property of Einstein gravity and not limited to the d = 4 Kerr-dS background. As required to discuss SCC in de Sitter spacetimes, we also study important aspects of the scalar field quasinormal mode (QNM) spectra of MP-dS. In particular, we find eigenvalue repulsions similar to those recently observed in the QNM spectra of asymptotically flat Kerr-Newman black holes. For axisymmetric modes (i.e. with azimuthal quantum number (m = 0) there are three distinct families of QNM (de Sitter, photon sphere and near-horizon). However, typically, for non-axisymmetric (m not equal 0) QNMs, we find that the entire spectra can be described by just two families of QNM (since several overtone sections of the photon sphere and near-horizon families merge). For completeness, we also study the full scalar field QNM spectra of higher-dimensional Schwarzschild-de Sitter black holes.
引用
收藏
页数:43
相关论文
共 69 条
  • [1] [Anonymous], ARXIV161204489
  • [2] Barreto AS, 1997, MATH RES LETT, V4, P103
  • [3] Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
    Bony, Jean-Francois
    Hafner, Dietrich
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 282 (03) : 697 - 719
  • [4] STABILITY IN GAUGED EXTENDED SUPERGRAVITY
    BREITENLOHNER, P
    FREEDMAN, DZ
    [J]. ANNALS OF PHYSICS, 1982, 144 (02) : 249 - 281
  • [5] Strong cosmic censorship in charged black-hole spacetimes: Still subtle
    Cardoso, Vitor
    Costa, Joao L.
    Destounis, Kyriakos
    Hintz, Peter
    Jansen, Aron
    [J]. PHYSICAL REVIEW D, 2018, 98 (10)
  • [6] Quasinormal Modes and Strong Cosmic Censorship
    Cardoso, Vitor
    Costa, Joao L.
    Destounis, Kyriakos
    Hintz, Peter
    Jansen, Aron
    [J]. PHYSICAL REVIEW LETTERS, 2018, 120 (03)
  • [7] Instability of Reissner-Nordstroumlm black holes in de Sitter backgrounds
    Cardoso, Vitor
    Lemos, Madalena
    Marques, Miguel
    [J]. PHYSICAL REVIEW D, 2009, 80 (12):
  • [8] Geodesic stability, Lyapunov exponents, and quasinormal modes
    Cardoso, Vitor
    Miranda, Alex S.
    Berti, Emanuele
    Witek, Helvi
    Zanchin, Vilson T.
    [J]. PHYSICAL REVIEW D, 2009, 79 (06):
  • [9] Casals M., ARXIV200606483
  • [10] GLOBAL ASPECTS OF CAUCHY PROBLEM IN GENERAL RELATIVITY
    CHOQUETBRUHAT, Y
    GEROCH, R
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 14 (04) : 329 - +