Proof of the weak cosmic censorship conjecture for several extremal black holes

Abstract

We show explicitly, for different types of extremal black holes, that test fields satisfying the null energy condition at the event horizon cannot violate the weak cosmic censorship conjecture. This is done by checking, in each case, that the hypotheses for the general theorem in [7] are satisfied.

arXiv comment16 pages, no figures; v2: minor changes, references added, matches final published version

References in corpus (24)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Gauss-Bonnet Black Holes in AdS Spaces
• The (2+1)-Dimensional Black Hole
• Charged black holes in effective string theory
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• 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
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field
• Weak cosmic censorship conjecture for Kerr-Taub-NUT black hole with test scalar field and particle
• Electromagnetic field and cosmic censorship
• Weak cosmic censorship, dyonic Kerr-Newman black holes and Dirac fields
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Stability of event horizons against neutrino flux: The classical picture
• Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole
• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• String analog of Reissner-Nordström black holes cannot be overcharged
• Ground state for a massive scalar field in BTZ spacetime with Robin boundary conditions
• Phase transitions in Born-Infeld AdS black holes in D-dimensions
• Geometrothermodynamics of a Charged Black Hole of String Theory

Cited by in corpus (8)

• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Destroying the event horizon of a nonsingular rotating quantum-corrected black hole
• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• First law of black hole thermodynamics and the weak cosmic censorship conjecture for Kerr-Newman Taub-NUT black holes
• Destroying the Event Horizon of a Rotating Black-Bounce Black Hole
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Overspinning a rotating black hole in semiclassical gravity with type-A trace anomaly
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field