Study Of The Relation Of Weak Cosmic Censorship Conjecture And Charge-to-mass Ratio Of Particles In AdS Spacetime

In 1969,in order to avoid the formation of naked singularities in the process of gravitation-al collapse in general relativity,Penrose et al.proposed the weak cosmic censorship conjecture,which states that the singularities formed in the process of gravitational collapse must be hid-den behind the event horizon of a black hole,never observed by distant observers.By now numerous counterexamples or evidences have been put forward by many researchers,but cos-mic censorship has not been completely disproven or proven.Recently,motivated by the idea of weak gravity conjecture,Horowitz and Santos et al.proposed that adding weak gravity con-jecture particles with sufficiently large charge-to-mass ratio,a class of counterexamples to the weak cosmic censorship conjecture in four-dimensional asymptotically AdS spacetime can be removed.This result implies that there may be some inherent connection between these two seemingly unrelated conjectures,the weak gravity and cosmic censorship conjecture.Based on the Horowitz's research on the connection between the weak gravity and cos-mic censorship conjecture,in this article,we investigate the relation of charge-to-mass ratio for other type of charged particles and weak cosmic censorship conjecture.First,we consider ?4 and ?6 self-interacting charged scalar fields,marked by the self-interaction parameters ? and?,respectively.It is known that the Einstein-Maxwell theory has a class of counterexamples to cosmic censorship in AdS spacetime.We find that,including a self-interacting charged scalar field with sufficiently large charge,these counterexamples can be removed.However,due to the self-interaction,the minimal charge required to protect cosmic censorship is no longer pre-cisely equal to the minimal charge predicted by weak gravity hypothesis in free scalar case.In particular,for the ?4 case,when ?<0 the minimal charge is lower than the minimal charge given for the free scalar field,while when ?>0 the minimal charge is higher than that for free scalar case.Meanwhile,for the ?6 case,regardless of ?>0 or ?<0,the minimal charge is higher than that for free scalar case.Then,we continue to study the influence of a additional charged vector field on counterex-amples to cosmic censorship in AdS spacetime.In this work,we numerically construct the stationary solutions of SU(2)Einstein-Yang-Mills model,to describe the system of vector field coupled to gravity and the U(1)gauge field.Without the vector field included,we can still con-struct a class of counterexamples in the Einstein-Maxwell theory.However,our results show that for the solution with SU(2)matter field included,increasing boundary amplitude of elec-tric field decreases the minimal charge of the smooth full nonlinear solution and the minimal charge eventually approaches down to a certain asymptotic bound q=qW.Although the effect of vector field is different from the scalar field,we can still conclude that,as long as the minimal vector charge is higher than the certain value qw,i.e.,q?qW,the original counterexamples to weak cosmic censorship can be removed for sufficiently large amplitude.