Absorbing Progress and Weak Cosmic Censorship Conjecture In Kerr Black hole

Abstract

In this paper, we consider Weak Cosmic Censorship Conjecture by absorbing particles for near extremal Kerr black hole. In previous work, they ignore the progress of black hole absorbing particles. They assume the whole particle can be absorbed and the overspinning occurs. However, It is questionable whether the whole particle can be absorbed. Therefore, we will consider it in this paper. We consider the absorbing progress of a particle with finite size. During this absorbing progress, the black hole's parameters will change. This change will prevent the rest part of particle enter black hole. We show the part entering black hole can not overspin near extremal Kerr black hole. Different from Sorce and Wald, we solve the overspinning problem for Kerr black hole without radiation effect or self-force effect. Further, we use this progress to a general black hole. Under two assumptions, we can prove if Weak Cosmic Censorship Conjecture is valid for an extremal black hole by absorbing a particle, it will be valid for the corresponding near extremal black hole. In many situation, the extremal black holes satisfy Weak Cosmic Censorship Conjecture and the corresponding near extremal black holes do not satisfy it. Therefore, if those black holes satisfy two assumptions, these violations can be solved by absorbing progress.