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 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?
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Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Horowitz, Gary T.
Santos, Jorge E.
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Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, EnglandUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
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Stockholm Univ, Dept Phys, Oskar Klein Ctr Cosmoparticle Phys, Alba Nova, S-10691 Stockholm, SwedenStockholm Univ, Dept Phys, Oskar Klein Ctr Cosmoparticle Phys, Alba Nova, S-10691 Stockholm, Sweden
Winkler, Martin Wolfgang
Gerbino, Martina
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Ist Nazl Fis Nucl, Sez Ferrara, Via Giuseppe Saragat 1, I-44122 Ferrara, Italy
Argonne Natl Lab, HEP Div, Lemont, IL 60439 USAStockholm Univ, Dept Phys, Oskar Klein Ctr Cosmoparticle Phys, Alba Nova, S-10691 Stockholm, Sweden
Gerbino, Martina
Benetti, Micol
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Univ Napoli Federico II, Dipartimento Fis E Pancini, Via Cinthia, I-80126 Naples, Italy
Ist Nazl Fis Nucl, Sez Napoli, Via Cinthia 9, I-80126 Naples, ItalyStockholm Univ, Dept Phys, Oskar Klein Ctr Cosmoparticle Phys, Alba Nova, S-10691 Stockholm, Sweden