Strong cosmic censorship in de Sitter space

Abstract

Recent work indicates that the strong cosmic censorship hypothesis is violated by nearly extremal Reissner-Nordstrom-de Sitter black holes. It was argued that perturbations of such a black hole decay sufficiently rapidly that the perturbed spacetime can be extended across the Cauchy horizon as a weak solution of the equations of motion. In this paper we consider the case of Kerr-de Sitter black holes. We find that, for any non-extremal value of the black hole parameters, there are quasinormal modes which decay sufficiently slowly to ensure that strong cosmic censorship is respected. Our analysis covers both scalar field and linearized gravitational perturbations.

arXiv comment26 pages, 6 figures

References in corpus (14)

• Geodesic stability, Lyapunov exponents and quasinormal modes
• Quasinormal modes and Strong Cosmic Censorship
• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Numerical Methods for Finding Stationary Gravitational Solutions
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Black holes without spacelike singularities
• The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
• Analysis of linear waves near the Cauchy horizon of cosmological black holes
• Cosmic Censorship: As Strong As Ever
• Lyapunov timescales and black hole binaries
• Boundary Conditions for Kerr-AdS Perturbations
• Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
• Asymptotics of linear waves and resonances with applications to black holes
• Stability of the Cauchy horizon in Kerr--de Sitter spacetimes

Cited by in corpus (74)

• On the viability of regular black holes
• Geodesically complete black holes
• Strong cosmic censorship in charged black-hole spacetimes: still subtle
• Inner horizon instability and the unstable cores of regular black holes
• Strong cosmic censorship for the massless charged scalar field in the Reissner-Nordstrom-de Sitter spacetime
• Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
• Charged Fermions and Strong Cosmic Censorship
• Scalar perturbations around rotating regular black holes and wormholes: quasi-normal modes, ergoregion instability and superradiance
• Quasinormal modes and Strong Cosmic Censorship in the regularised 4D Einstein-Gauss-Bonnet gravity
• Fate of Strong Cosmic Censorship Conjecture in Presence of Higher Spacetime Dimensions
• Strong cosmic censorship: The nonlinear story
• Spectral (in)stability of quasinormal modes and strong cosmic censorship
• Stability of the Cauchy horizon in accelerating black-hole spacetimes
• Strong cosmic censorship for the massless Dirac field in the Reissner-Nordstrom-de Sitter spacetime
• Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
• Rough initial data and the strength of the blue-shift instability on cosmological black holes with $\Lambda >0$
• Strong Cosmic Censorship in Horndeski Theory
• Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Limits on stellar structures in Lovelock theories of gravity
• Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter Black Hole
• Quasinormal modes of the bumblebee black holes with a global monopole
• How general is the strong cosmic censorship bound for quasinormal modes?
• Strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Nordstrom--de Sitter black hole
• Overtones of black holes via time-domain integration
• Distinguishing Brans-Dicke-Kerr type naked singularities and black holes with their thin disk electromagnetic radiation properties
• Kerr-(Anti-)de Sitter Black Holes: Perturbations and quasi-normal modes in the slow rotation limit
• Glimpses of Violation of Strong Cosmic Censorship in Rotating Black Holes
• Ringdown of Charged Compact Objects using Membrane Paradigm
• Holographic Probes of Inner Horizons
• Strong Cosmic Censorship in Charged de Sitter spacetime with Scalar Field Non-minimally Coupled to Curvature
• Initial data for general relativistic simulations of multiple electrically charged black holes with linear and angular momenta
• Massive vector fields in Kerr--Newman and Kerr--Sen black hole spacetimes
• Strong Cosmic Censorship in higher curvature gravity
• Quasinormal modes of small Schwarzschild-de Sitter black holes
• Interior Quasinormal Modes and Strong Cosmic Censorship
• Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
• A simple quantum test for smooth horizons
• Infinite quantum twisting at the Cauchy horizon of rotating black holes
• The origin of the Reissner-Nordström de Sitter instability
• Charged Particle and Strong Cosmic Censorship in Reissner-Nordström-de Sitter Black Holes
• Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
• Strong cosmic censorship conjecture with NUT charge and conformal coupling
• Strong Cosmic Censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry
• Long-Lived Quasinormal Modes of Brane-Localized Reissner-Nordström--de Sitter Black Holes
• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole
• Quasinormal Modes of Massive Scalar Field with Nonminimal Coupling in Higher-Dimensional de Sitter Black Hole with Single Rotation
• Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
• Bound on photon circular orbits in general relativity and beyond
• Quasinormal Modes in Near-Extremal Spinning C-Metric
• A note on the stability of the Cauchy horizon in regular black holes without mass inflation
• Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime
• On the validity of Strong Cosmic Censorship Conjecture in presence of Dirac fields
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Hunting for fermionic instabilities in charged AdS black holes
• Global solvability of the vacuum Einstein equation and the strong cosmic censorship in four dimensions
• Curvature blow-up rates in spherically symmetric gravitational collapse to a Schwarzschild black hole
• Spectral instability of horizonless compact objects within astrophysical environments
• Numerical evolution of the interior geometry of charged black holes
• Overdamped quasibound states inside a Schwarzschild black hole
• Strong cosmic censorship and topology change in four dimensional gravity
• Strong Cosmic Censorship for a Scalar Field in a Logarithmic-de Sitter Black Hole
• Computation of $⟨{\Phi }^2⟩$ and quantum fluxes at the polar interior of a spinning black hole
• Strong cosmic censorship for the spherically symmetric Einstein-Maxwell-charged-Klein-Gordon system with positive $\Lambda$: stability of the Cauchy horizon and $H^1$ extensions
• Hawking radiation inside a charged, cosmological black hole
• Physical objects approaching the Cauchy horizon of a rapidly rotating Kerr black hole
• Investigations of strong cosmic censorship in 3-dimensional black strings
• A note on Strong Cosmic Censorship and its violation in Reissner-Nordström de Sitter black hole space-times
• Linear stability of charged warm holes
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies
• Quantum aspects of charged black holes in de-Sitter space