Testing cosmic censorship conjecture near extremal black holes with cosmological constants

Abstract

It has been shown previously that an extremal Reissner-Nordström or an extremal Kerr black hole cannot be overcharged or overspun by a test particle if radiative and self-force effects are neglected. In this paper, we consider extremal charged and rotating black holes with cosmological constants. By studying the motion of test particles, we find the following results: An extremal Reissner-Nordström anti-de Sitter (RN-AdS) black hole can be overcharged by a test particle but an extremal Reissner-Nordström de Sitter (RN-dS) black hole cannot be overcharged. We also show that both extrmal Kerr-de-Sitter (Kerr-dS) and Kerr-anti-de-Sitter (Kerr-AdS) black holes can be overspun by a test particle, implying a possible breakdown of the cosmic censorship conjecture. For the Kerr-AdS case, the overspinning requires that the energy of the particle be negative, a reminiscent of the Penrose process. In contrast to the extremal RN and Kerr black holes, in which cases the cosmic censorship is upheld, our results suggest some subtle relations between the cosmological constants and the comic censorship. We also discuss the effect of radiation reaction for the Kerr-dS case and find that the magnitude of energy loss due to gravitational radiation may not be enough to prevent the violation of the cosmic censorship.

15 pages, 1 figure

References in corpus (9)

• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Destroying extremal Kerr-Newman black holes with test particles
• Classical instability of Kerr-AdS black holes and the issue of final state
• Cosmic Censorship, Black Holes and Integer-spin Test Fields
• Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
• Self-force as a cosmic censor
• Destroying the event horizon of regular black holes
• Gedanken experiments on nearly extremal black holes and the Third Law

Cited by in corpus (26)

• Destroying Kerr-Sen black holes
• Weak Cosmic Censorship Conjecture in Kerr-(Anti-)de Sitter Black Hole with Scalar Field
• Overcharging higher-dimensional black holes with point particles
• Overspinning BTZ black holes with test particles and fields
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Electromagnetic field and cosmic censorship
• Weak cosmic censorship, dyonic Kerr-Newman black holes and Dirac fields
• 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
• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• Cosmic Censorship and parametrized spinning black-hole geometries
• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• Testing Cosmic Censorship Conjecture for Extremal and Near-extremal (2+1)-dimensional MTZ Black Holes
• Kerr-Newman black holes can be generically overspun
• Weak cosmic censorship conjecture in Kerr black holes of modified gravity
• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• A Note on Physical Mass and the Thermodynamics of AdS-Kerr Black Holes
• Collapsing rotating shells in Myers-Perry-AdS${}_5$ spacetime: A perturbative approach
• Destroying a near-extremal Kerr-Newman-AdS black hole
• Over-spinning Kerr-Sen black holes with test fields
• Hawking radiation as the cosmic censor
• Quasi-normal Modes of near-extremal black holes in Generalized spherically symmetric spacetime and Strong Cosmic Censorship Conjecture
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Weak Cosmic Censorship Conjecture Cannot be Violated in Gedanken Experiments
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes