科研之友
微信
新浪微博
Facebook
分享链接
摘要
The limit of large number of dimensions localizes the gravitational field of a black hole in a well-defined region near the horizon. The perturbative dynamics of the black hole can then be characterized in terms of states in the near-horizon geometry. We investigate this by computing the spectrum of quasinormal modes of the Schwarzschild black hole in the 1/D expansion, which we find splits into two classes. Most modes are non-de coupled modes : non-normalizable states of the near-horizon geometry that straddle between the near-horizon zone and the asymptotic zone. They have frequency of order D/r(0) ( with r(0) the horizon radius), and are also present in a large class of other black holes. There also exist a much smaller number of decoupled modes : normalizable states of the near-horizon geometry that are strongly suppressed in the asymptotic region. They have frequency of order 1/r(0), and are specific of each black hole. Our results for their frequencies are in excellent agreement with numerical calculations, in some cases even in D = 4.
- 出版日期2014-7-23
