Overcharging dilaton black holes in 2+1 dimensions to extremality and beyond

Abstract

We test whether static charged dilaton black holes in 2+1 dimensions can be turned into naked singularities, by sending in test particles from infinity. We derive that overcharging is possible and generic for both extremal and nearly extremal black holes. Our analysis also imply that nearly extremal charged dilaton black holes can be continuously driven to extremality and beyond, unlike nearly extremal Baunados-Teitelboim-Zanelli, Kerr and Reissner-Nordström black holes which are overspun or overcharged by a discrete jump. Thus the weak form of the cosmic censorship conjecture and the third law of black hole thermodynamics are both violated in the interaction of charged dilaton black holes in 2+1 dimensions, with test particles. We also derive that there exists no points where the heat capacity vanishes or diverges in the transition from black holes to naked singularities. The phase transitions that could potentially prevent the formation of naked singularities do not occur.

arXiv comment9 pages, 1 figure, to appear in IJGMMP

References in corpus (43)

• The Black Hole in Three Dimensional Space Time
• Overcharging a Black Hole and Cosmic Censorship
• Over-spinning a black hole with a test body
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Static Charged Black Holes in $(2+1)$ Dimensional Dilaton Gravity
• Destroying extremal Kerr-Newman black holes with test particles
• Test fields cannot destroy extremal black holes
• Dyonic Kerr-Newman black holes, complex scalar field and Cosmic Censorship
• 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
• Quasinormal Modes of Charged Dilaton Black Holes in 2+1 Dimensions
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• Flowing along the edge: spinning up black holes in AdS spacetimes with test particles
• Overcharging higher-dimensional black holes with point particles
• Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter
• 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
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Overspinning BTZ black holes with test particles and fields
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Electromagnetic field and cosmic censorship
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Weak cosmic censorship, dyonic Kerr-Newman black holes and Dirac fields
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• Stability of event horizons against neutrino flux: The classical picture
• Five dimensional charged rotating minimally gauged supergravity black hole cannot be over-spun and/or over-charged in non-linear accretion
• Testing Cosmic Censorship Conjecture for Extremal and Near-extremal (2+1)-dimensional MTZ Black Holes
• Kerr-Newman black holes can be generically overspun
• On the third law of black hole dynamics
• Strong Cosmic Censorship under Quasinormal Modes of Non-Minimally Coupled Massive Scalar Field
• Over-spinning Kerr-Sen black holes with test fields
• String analog of Reissner-Nordström black holes cannot be overcharged
• Destroying extremal magnetized black holes
• Overspinning Kerr-MOG black holes by test fields and the third law of black hole dynamics
• Hawking radiation as the cosmic censor
• Alternative approach to thermodynamic phase transitions
• Spectroscopy and Thermodynamics of MSW Black Hole
• Is there a mode stability paradox for neutrino perturbations of Kerr black holes?
• Charged dilaton black hole in 2+1 dimensions as a particle accelerator
• Black hole-naked singularity dualism and the repulsion of two Kerr black holes due to spin-spin interaction

Cited by in corpus (8)

• On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
• Cosmic censorship, massless fermionic test fields, and absorption probabilities
• Challenging event horizons with spin (3/2) fields
• Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
• Spin-2 fields and cosmic censorship
• Can the induced increase in the angular velocity prevent the overspinning of BTZ 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