On overspinning of black holes in higher dimensions

Abstract

It turns out that repulsive effect due to rotation of a rotating black hole dominates over attraction due to mass for large $r$ in dimensions $>5$. This gives rise to a remarkable result that black hole in these higher dimensions in contrast to lower dimensional ones cannot be overspun even under linear test particle accretion. Further if a black hole in dimension $>4$ has one of its rotation parameters zero, it has only one horizon and hence it can never be overspun. Thus rotating black holes in six and higher dimensions, and those with one rotation parameter switched off, would always obey the weak cosmic censorship conjecture (WCCC).

7 pages, 2 figures; references added, minor changes made

References in corpus (12)

• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• 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
• Destroying a near-extremal Kerr-Newman black hole
• Overspinning a Kerr black hole: the effect of self-force
• 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
• Destroying a near-extremal Kerr black hole with a charged particle: Can a test magnetic field serve as a cosmic censor?
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• Static charged Gauss-Bonnet black holes cannot be overcharged by the new version of gedanken experiments

Cited by in corpus (13)

• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• Overcharging process around a magnetized black hole: Can the backreaction effect of magnetic field restore cosmic censorship conjecture?
• Cosmic censorship, massless fermionic test fields, and absorption probabilities
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Challenging event horizons with spin (3/2) fields
• Spin-2 fields and cosmic censorship
• Can the induced increase in the angular velocity prevent the overspinning of BTZ black holes?
• Five dimensional rotating and Quintessence black hole and their hypershadows
• Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS${}_5$ boundary
• 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