Weak cosmic censorship conjecture in the pure Lovelock gravity

TL;DR

This paper investigates the weak cosmic censorship conjecture in pure Lovelock gravity, showing that rotating black holes in dimensions greater than a certain threshold always obey WCCC, with implications for black hole formation in higher dimensions.

Contribution

It establishes a dimensional threshold in pure Lovelock gravity beyond which rotating black holes always obey WCCC, extending previous results from Einstein gravity.

Findings

Pure Lovelock rotating black holes obey WCCC in dimensions > 4N+1.

In higher dimensions, gravity becomes repulsive, preventing overspinning.

The threshold depends on the degree N of the Lovelock polynomial.

Abstract

It is well known that a rotating black hole in four dimension could be overspun by linear order test particle accretion which however always gets overturned when non-linear perturbations are included. It turns out that in the Einstein gravity, repulsion due to rotation dominates over attraction due to mass in dimensions, $D>5$, and consequently black hole cannot be overspun even for linear order accretion. For the pure Lovelock rotating black hole, this dimensional threshold is $D>4N+1$ where $N$ is degree of single $N$th order term in the Lovelock polynomial in the action. Thus the pure Lovelock rotating black holes always obey the weak cosmic censorship conjecture (WCCC) in all dimensions greater than $4N+1$. Since overall gravity being repulsive beyond this dimensional threshold, how is rotating black hole then formed there?