Charged Particle and Strong Cosmic Censorship in Reissner-Nordström-de Sitter Black Holes

Abstract

We investigate the instability of the unstable circular orbit of a charged null particle to test the strong cosmic censorship conjecture in Nariai-type near-extremal Reissner--Nordström--de Sitter black holes. The instability is estimated as the Lyapunov exponent and found to depend on the mass and charge of the black hole. Then, we explicitly show that charged null particles in unstable circular orbits correspond to the charged massless scalar field in the eikonal limit. This provides a compact relationship representing the quasinormal frequency in terms of the characteristics of unstable circular orbits in near Nariai-type extremal conditions. According to this relationship, the strong cosmic censorship conjecture is valid.

arXiv comment17 pages, 4 figures, published in PRD

References in corpus (62)

• Geodesic stability, Lyapunov exponents and quasinormal modes
• Quasinormal modes and Strong Cosmic Censorship
• Overcharging a Black Hole and Cosmic Censorship
• Over-spinning a black hole with a test body
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Black hole singularities: a numerical approach
• Black Hole Mergers and Unstable Circular Orbits
• Universality in Chaos of Particle Motion near Black Hole Horizon
• Weak Cosmic Censorship: As Strong as Ever
• Destroying extremal Kerr-Newman black holes with test particles
• Strong cosmic censorship in charged black-hole spacetimes: still subtle
• Testing the Cosmic Censorship Conjecture with point particles: the effect of radiation reaction and the self-force
• Strong cosmic censorship in de Sitter space
• Test fields cannot destroy extremal black holes
• Overspinning a Kerr black hole: the effect of self-force
• Dyonic Kerr-Newman black holes, complex scalar field and Cosmic Censorship
• Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption
• Cosmic Censorship: As Strong As Ever
• Cosmic Censorship, Black Holes and Integer-spin Test Fields
• Evidence for an Electrifying Violation of Cosmic Censorship
• Charged scalar field instability between the event and cosmological horizons
• Strong cosmic censorship: taking the rough with the smooth
• Weak Cosmic Censorship Conjecture in Kerr-(Anti-)de Sitter Black Hole with Scalar Field
• 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
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Charged Fermions and Strong Cosmic Censorship
• Flowing along the edge: spinning up black holes in AdS spacetimes with test particles
• Overcharging higher-dimensional black holes with point particles
• Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• Higher-dimensional charged black holes cannot be over-charged by gedanken experiments
• Fate of Strong Cosmic Censorship Conjecture in Presence of Higher Spacetime Dimensions
• Strong cosmic censorship: The nonlinear story
• Asymptotics of linear waves and resonances with applications to black holes
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Strong cosmic censorship for the massless Dirac field in the Reissner-Nordstrom-de Sitter spacetime
• Strong cosmic censorship in charged black-hole spacetimes: As strong as ever
• Charged scalar perturbations on charged black holes in dRGT massive gravity
• Weak Cosmic Censorship, Superradiance and Quantum Particle Creation
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Strong Cosmic Censorship in Horndeski Theory
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Cosmic Censorship: Formation of a Shielding Horizon Around a Fragile Horizon
• Quasinormal modes and strong cosmic censorship in near-extremal Kerr-Newman-de Sitter black-hole spacetimes
• The higher dimensional Myers-Perry black hole with single rotation always obeys the Cosmic Censorship Conjecture
• Cosmic Censorship and parametrized spinning black-hole geometries
• Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter Black Hole
• Strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Nordstrom--de Sitter black hole
• Strong Cosmic Censorship under Quasinormal Modes of Non-Minimally Coupled Massive Scalar Field
• Over-spinning Kerr-Sen black holes with test fields
• Strong Cosmic Censorship in Charged de Sitter spacetime with Scalar Field Non-minimally Coupled to Curvature
• The Formation of Black Holes in General Relativity
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Weak cosmic censorship conjecture in BTZ black holes with scalar fields

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• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• Quasinormal Modes in Near-Extremal Spinning C-Metric
• Cosmic censorship, massless fermionic test fields, and absorption probabilities
• Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime
• The variational method, backreactions, and the absorption probability in Wald type problems
• Strong cosmic censorship conjecture for a charged BTZ black hole
• Strong cosmic censorship for a scalar field in an Einstein-Maxwell-Gauss-Bonnet-de Sitter black hole
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies