Testing Cosmic Censorship Conjecture for Extremal and Near-extremal (2+1)-dimensional MTZ Black Holes

Abstract

We test the validity of the weak cosmic censorship conjecture for the ($2+1$)-dimensional charged anti-de Sitter black hole solution, which was derived by Martinez, Teitelboim, and Zanelli (MTZ). We first construct a thought experiment by throwing test charged particles on an extremal MTZ black hole. We derive that extremal ($2+1$) dimensional black holes can be overcharged by test particles, unlike their analogues in $4$ and higher dimensions. Nearly-extremal black holes can also be overcharged, by a judicious choice of energy and charge for the test particles in the case when we ignore the second order effects. Contrary to this, nearly-extremal black holes cannot be overcharged by the second order perturbation, obeying the weak cosmic censorship conjecture.

arXiv comment7 pages, 2 figures, to appear in Classical and Quantum Gravity

References in corpus (39)

• Charged Rotating Black Hole in Three Spacetime Dimensions
• Overcharging a Black Hole and Cosmic Censorship
• 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
• Weak Cosmic Censorship: As Strong as Ever
• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• Destroying a near-extremal Kerr-Newman black hole
• Test fields cannot destroy extremal black holes
• Dyonic Kerr-Newman black holes, complex scalar field and Cosmic Censorship
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption
• Cosmic Censorship, Black Holes and Integer-spin Test Fields
• Destroying Kerr-Sen black holes
• Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
• Self-force as a cosmic censor
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Overcharging higher-dimensional black holes with point particles
• Destroying a near-extremal Kerr black hole with a charged particle: Can a test magnetic field serve as a cosmic censor?
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Higher-dimensional charged black holes cannot be over-charged by gedanken experiments
• Challenging the weak cosmic censorship conjecture with charged quantum particles
• 5-dimensional Myers-Perry Black Holes Cannot be Over-spun by Gedanken Experiments
• Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture
• Overspinning BTZ black holes with test particles and fields
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Can quantum mechanics fool the cosmic censor?
• Weak Cosmic Censorship, Superradiance and Quantum Particle Creation
• Electromagnetic field and cosmic censorship
• Return of the quantum cosmic censor
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole
• Testing cosmic censorship conjecture near extremal black holes with cosmological constants
• The higher dimensional Myers-Perry black hole with single rotation always obeys the Cosmic Censorship Conjecture
• Five dimensional charged rotating minimally gauged supergravity black hole cannot be over-spun and/or over-charged in non-linear accretion
• Destroying black holes with test bodies
• Six-dimensional Myers-Perry rotating black hole cannot be overspun
• Collapsing rotating shells in Myers-Perry-AdS${}_5$ spacetime: A perturbative approach
• String analog of Reissner-Nordström black holes cannot be overcharged
• Hawking radiation as the cosmic censor

Cited by in corpus (22)

• Dynamics of particles and epicyclic motions around Schwarzschild-de-Sitter black hole in perfect fluid dark matter
• Motion of charged and spinning particle influenced by dark matter field surrounding a charged dyonic black hole
• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• On overspinning of black holes in higher dimensions
• Universal thermodynamic topological classes of black holes in perfect fluid dark matter background
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio
• Overcharging process around a magnetized black hole: Can the backreaction effect of magnetic field restore cosmic censorship conjecture?
• Overcharging dilaton black holes in 2+1 dimensions to extremality and beyond
• Cosmic censorship, massless fermionic test fields, and absorption probabilities
• The variational method, backreactions, and the absorption probability in Wald type problems
• Quasinormal modes of charged BTZ black holes
• Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
• Challenging event horizons with spin (3/2) fields
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Spin-2 fields and cosmic censorship
• Can the induced increase in the angular velocity prevent the overspinning of BTZ black holes?
• The First Law and Weak Cosmic Censorship for de Sitter Black Holes
• Second order variations and the overspinning problem in Kerr-Taub-NUT spacetime
• Self energy in Kerr-Sen space-time incorporated to overspinning and overcharging problems
• Charged particle motion around a magnetized Reissner-Nordström black hole