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arXiv · 2008.04092

Weak cosmic censorship conjecture in the pure Lovelock gravity

Sanjar Shaymatov·Naresh Dadhich
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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?

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Sanjar Shaymatov, Naresh Dadhich. 2022-08-03. Weak cosmic censorship conjecture in the pure Lovelock gravity. https://arxiv.org/abs/2008.04092

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