Study Of Deformed Black Hole Solutions And Weak Cosmic Censorship In AdS Spacetime

With the propose of relativity,people have a deeper understanding of time and space.At the same time,with the propose of general relativity,people have a deeper understanding of gravity.The study of the black hole solution from the Einstein equation has always been an important field of general relativity.There are many aspects related to the study of black hole solution,such as the stability of black hole solution,the structure of black hole solution and so on.Motivated by the novel asymptotically global AdS4 solutions with deforming horizon,we analyze the boundary metric with odd multipolar differential rotation and numerically con-struct a family of deforming solutions with tripolar differential rotation boundary,including two classes of solutions:the solitons and black holesSecondly,with the introduction of general relativity,the singularity problem of the solution of the gravitational field equation also arises accordingly.R.Penrose propose the weak cosmic censorship conjecture in 1969,which guarantees that there is no naked singularity in spacetime With propese the weak cosmic censorship conjecture,the correctness of general relativity is guaranteed.But recently,more and more examples of violating the weak cosmic censorship conjecture have been constructed,so we are inspired by these works to try to construct examples of violating the weak cosmic censorship conjecture,and then we eliminate the counter examples of the weak cosmic censorship conjecture by considering the weak gravity conjectureIn this paper,we mainly discuss several parts of work:First,we introduce the work of the solution of deformed soliton and black hole under the dipolar differential rotational conformal boundary.Then,we add a boundary rotation parameter to the tripolar differential rotation con-formal boundary metric,we construct ansatz of soliton solution and black hole solution with the tripolar differential rotation conformal boundary,and we use the numerical method to solve Einstein equation to get the numerical solution of soliton solution and black hole solution.We discuss the change of the maximum of Kretschmann scalar with the increase of rotation param-eter in the case of soliton solution,which represents the curvature in spacetime,and we use the quasinormal mode method to study the stability of soliton solution.We also discuss the change of entropy with the increase of rotation parameter in the case of black hole solution.We use the quasinormal mode method to study the stability of black hole solution and the deformation of black hole horizon.Finally,we consider the Einstein-Maxwell theory in four-dimensional AdS spacetime,construct the counterexamples which violates the weak cosmic censorship conjec-ture,and introduce the charged vector field to eliminate the naked singularity in spacetime by considering the weak gravity conjecture.