Weak cosmic censorship conjecture in BTZ black holes with scalar fields

Abstract

The weak cosmic censorship conjecture in the near-extremal BTZ black hole has been tested by the test particles and fields. It was claimed that this black hole could be overspun. In this paper, we review the thermodynamics and weak cosmic censorship conjecture in BTZ black holes by the scattering of the scalar field. The first law of thermodynamics in the non-extremal BTZ black hole is recovered. For the extremal and near-extremal black holes, due to the divergence of the variation of the entropy, we test the weak cosmic censorship conjecture by evaluating the minimum values of the function $f$. Both of the extremal and near-extremal black holes cannot be overspun.

minor corrections, 13 pages

References in corpus (20)

• 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
• Destroying extremal Kerr-Newman black holes with test particles
• Overspinning a Kerr black hole: the effect of self-force
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
• Overcharging higher-dimensional black holes with point particles
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Overspinning BTZ black holes with test particles and fields
• Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime
• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption

Cited by in corpus (6)

• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field
• Gedanken Experiments to Destroy a BTZ Black Hole
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Charged Particle and Strong Cosmic Censorship in Reissner-Nordström-de Sitter Black Holes