Exact constraints on D$\le 10$ Myers Perry black holes and the Wald Problem

Abstract

Exact relations on the existence of event horizons of Myers Perry black holes are obtained in $D\le 10$ dimensions. It is further shown that naked singularities can not be produced by "spinning-up" these black holes by shooting particles into their $\lfloor \frac{D-1}{2}\rfloor$ equatorial planes.

7 pages, 11 figures, version two corrects an earlier error in equation (35) and adds some plots for cohomogeneity-2 and 3 black holes

References in corpus (5)

• An instability of higher-dimensional rotating black holes
• Weak Cosmic Censorship: As Strong as Ever
• Instability and new phases of higher-dimensional rotating black holes
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Black holes die hard: can one spin-up a black hole past extremality?

Cited by in corpus (6)

• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• On overspinning of black holes in higher dimensions
• Gravitational parameter estimation in a waveguide
• Stationary rotating black holes in theories with gravitational Chern-Simons Lagrangian term
• Dilaton Field Released under Collision of Dilatonic Black Holes with Gauss-Bonnet Term