Absorption Process and Weak Cosmic Censorship Conjecture In Kerr Black hole

Abstract

In this paper, we investigate the Weak Cosmic Censorship Conjecture in nearly extremal Kerr black hole by absorbing particles . In previous work, they ignore the process 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 investigate it in this paper. We consider the absorption process of a particle with finite size. During this absorption process, 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 a nearly 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 process to a general black hole. Under three assumptions, we show if Weak Cosmic Censorship Conjecture is valid for an extremal black hole by absorbing a particle, it will be valid for the corresponding nearly extremal black hole. In many situation, the extremal black holes satisfy Weak Cosmic Censorship Conjecture and the corresponding nearly extremal black holes don't satisfy it. Therefore, if those black holes satisfy three assumptions, these violations may be solved by absorption process.