摘要黑洞是现代物理的前沿领域之一，一直在推动着物理学的发展。在第一章中，我们回顾了黑洞理论的发展，介绍了目前天文学上对黑洞的观测认证。Anti-de Sitter时空是含宇宙项的爱因斯坦场方程的真空解，是三种最大对称空间中的一种，具有负的时空曲率。研究Ads时空具有很大的理论意义，近年来由于Ads/CFT对偶的发现, Ads时空受到了广泛关注。黑洞的似正规模是指黑洞外部微扰场演化的中期阶段的波模，由于其只依赖于黑洞的特征参数，而与扰动场的初始条件无关，因而可以用来反映黑洞的性质。在本文中我们通过似正规模来反映黑洞的稳定性。本文是一篇综述性文章，通过广泛阅读国内外在这一方向的研究文献，我们回顾了利用微扰法研究黑洞稳定性的历史，以及已经得出的结论，同时对于近期在这一方向的研究进展作了介绍。四维时空中的黑洞在各类扰动场下大都是稳定的，然而当扰动场带电时有些黑洞有可能出现不稳定，比如RNAds黑洞。高维时空中的黑洞更容易出现不稳定性，比如五维的旋转黑洞对一些特定的扰动是不稳定的。67306

abstract

In this review, we talk about the stability or instability of a black in the Anti-de Siter space. We first introduce the history of the black hole theory and its importance in the development of theoretical physics as well as its observation in astronomy by indirect means. Then we let know the Anti-de Sitter spacetime which is a solution to the Einstein field equations with a cosmological contant. In fact, the Ads spacetime is among the three spacetime which own maximum symmetry. The other two are Minkowski spacetime and de Sitter spacetime. Due to the discover of Ads/CFT correspondence, Ads spacetime has attracted wide attention. In Chapter III we introduce a univer-

sal method of researching the stability of a black hole---Quasinormal mode (QNM). QNM is the wave mode of a perturbation around the black during the intermediate stage. Since the QNM only depended on feature of black hole, it is useful in black hole research. In Chapter IV, we review the the history of the research of black hole stability and the use of perturbation method. We also intro -duce the progression in this research area through extensive reading. The Block holes in four-dimensional spacetime are mostly stable against perturbation. However, when the perturbation fild 

is charged, some black holes can be instabl, like the RNAds black hole. Black hole in higher deme

-msional are more likely to be instable, such as a five-dimensional rotating black hole.

毕业论文关键词：Ads时空； 黑洞； 似正规模； 稳定性

Keyword: Anti-de Sitter Spacetime; Black hole; Quasinormal mode; Stability

目录

中文摘要 1

英文摘要 2 

第一章 绪论

§ 1.1 黑洞理论及其历史简介 4

§ 1.2 历史上的两种黑洞

§ 1.2.1 拉普拉斯的黑洞 5

§ 1.2.2 广义相对论中的黑洞 6

§ 1.3黑洞的观测认证 6

第二章 Ads时空介绍

§ 2.1 场方程与宇宙常数项 7

§ 2.2 三种具有最大对称性的时空 7

§ 2.3 研究Anti-de Sitter时空的意义 8

第三章 黑洞微扰与黑洞的似正规模

§ 3.1 黑洞微扰的演化过程 10

§ 3.2 黑洞的特征声音——似正规模