Ads/CFT对应是引力理论中重要的主要基础问题之一，人们需要检验该假设成立的范围，通常可以通过计算各种时空背景下波的衰变率与共形场论的结果、或黑洞背景下准正模与共形场关联函数的极点进行比对。项目拟基于极端转动黑洞视界附近的转动星的激发衰变率与边界共形场论的分析、准正模计算等方法，分析高维Kerr-Nut-Ads等一类极端黑洞视界附近场论的行为，从而验证Kerr/CFT对应关系，解决与此有关的各种具体问题。具体研究内容包括：（1）考虑Kerr-Nut-Ads 等极端黑洞在视界附近的对称性对物质场的限制，给出相应的解形式；（2）基于Kerr-Nut-Ads 等在极端黑洞视界附近特定解，分析绕黑洞转动的星体运动的辐射，计算相关的物理量，验证Kerr/CFT对应（3）研究与之相关联的磁球的解以及稳定性问题，进而分析黑洞的性质等。

The Ads/CFT is the main fundamental subject in General Relativity, and an issue frequently examined is how far one can go under this correspondence. Usually, one can check this conjecture through comparisons of the decay rates of various propagating waves on a variety of spacetime backgrounds with the results computed in corresponding CFT’s, or Quasi-normal modes of black hole spacetime matched to the poles of correlation functions of CFT. Based on the decay rate of excitations of a massive rotating star and quasi-normal mode methods, we will analyze the behavior of gravity wave in high-dimensional Kerr-Nut-Ads back ground and the related results of CFT on the boundary. Consequently, one can check the Kerr/CFT correspondence, and solve some the related field problems. The detail study contents include: (1) Consider the geometry symmetry of the near horizon extreme Kerr-Nut-Ads black holes and other black holes, we will discuss the constrains of the symmetry on the matter fields and find the solutions; (2) Based on the special solution of extreme Kerr-Nut-Ads black holes and similar black holes, by investigating the radiation of massive rotating star and computing the related field quantities, we check the Kerr/CFT correspondence; (3) Apply the related properties of near horizon of extreme Kerr-Nut-Ads and other black holes, we study the magnetosphere and its related stability. This project focuses on the physical properties of high-dimensional Kerr-Nut-Ads black holes and similar black holes at the near horizon and the field quantities, in order to shed light on a better understanding of spacetime structure, Kerr/CFT correspondence and gravitational waves.