The Phase Structure And QNMs Of A Charged AdS Dilaton Black Hole

This thesis is an extended version based on the published paper “Phase Structure and QNMs of A Charged AdS Dilaton Black Hole”,which is finished by me as a main author in persuming the Master degree.In the thesis,we have briefly reviewed the conceptions on black hole thermodynamics,black hole entropy,extended phase space and so on.Next,we investigate the phase structure of a charged AdS dilaton black hole in the extended phase space which takes the cosmological constant,i.e.the AdS-?parameter as pressure.Through both thermal ensemble and quasinormal mode analysis,we find that stable phase of the black hole with non-trivial dilaton profiles always exists for both large and small couplings when the AdS-? is considered dynamical degrees of freedom.This forms a somewhat contrast with previous works which does not do so.Our results provide new examples for the parallelism or equivalences between thermal ensemble methods and dynamic perturbation analysis for black hole phase structures.