Weak cosmic censorship conjecture in the pure Lovelock gravity

Abstract

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 > 4DN + 1 where N is degree of single Nth 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?