The Perturbation And Its Effect Of Black Holes

This thesis has 5 chapters:In Chapter 1, we give a review about the black hole and its perturbation theroy.In Chapter 2, we study the horizon of the Kerr-Newman-(anti-)de Sitter spacetime. By using Sturm theorem, we find that for Kerr-Newman-de Sitter spacetime, it has either three horizons or only one horizon; while for Kerr-Newman-anti-de Sitter spacetime, it has either two horizons or none horizon, and for each case we give the condition.In next chapter, we study the spin particle’s perturbation near a Grumiller black hole and a Kerr-Newman-(anti-)de Sitter black hole. By using Newman-Penrose(N-P) formalism and consider the fact that in a Type-D spacetime the perturbation equation for massless and source free particles with arbitrary spin can be decoupled to one same form, we obtain the Teukolsky-type master equation for the perturbation. Further more, we find that both the radial part of the two Teukolsky-type master equations can be transformed into Heun’s equation.In Chapter 4,by learning the geodesic equation of the test particle, we study the classical particle’s perturbation near a Grumiller black hole. We find that due to the presence of the cosmological constant, the orbit of thetest particle will be changed.In Chapter 5,we give the summarization and the prospects.