At every perturbation order, black hole gedanken experiments preserve cosmic censorship whenever the thermodynamic quantity W is positive.
Cosmic censorship conjecture in a general Kerr-Newman black hole
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abstract
Using some probes, the violation of cosmic censorship conjecture in a general Kerr-Newman black hole is investigated. The result depends on many factors, like the relative sign of charge and rotation direction of the probe and black hole. Moreover the comparison of the angular momentum of the black hole and its charge has an impressive effect. Considering all these together, we have found the range of the angular momentum, energy and charge of the probe for which the event horizon disappears. We have found that cosmic censorship conjecture violation is possible only for near extremal black hole if the parameters of the probe are too large and fine tuned. Taking into account the hoop conjecture, we see that the cosmic censorship conjecture is respected for a general Kerr-Newman black hole subject to a large enough number of falling particles and also field quanta.
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Weak Cosmic Censorship Conjecture in Gedanken Experiments at All Orders
At every perturbation order, black hole gedanken experiments preserve cosmic censorship whenever the thermodynamic quantity W is positive.