Restudy of the stability problem of the Schwarzschild black hole  

作　　者：田贵花 王世坤 赵峥 

机构地区：[1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China [3]Department of Physics, Beijing Normal University, Beijing 100875, Chin

出　　处：《Chinese Physics B》2006年第7期1430-1434,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 10475013, 10373003 and 10375087）, the National Basic Research Program （Grant No 2004CB318000） and the Post-Doctor Foundation of China.

摘　　要：The stability of the Schwarzschild black hole is restudied in the Painlevé coordinates. Using the Painlevé time coordinate to define the initial time, we reconsider the odd perturbation and find that the Schwarzschild black hole in the Painlevé coordinates is unstable. The Painlevé metric in this paper corresponds to the white-hole-connected region of the Schwarzschild black hole （r 〉 2m） and the odd perturbation may be regarded as the angular perturbation. Therefore, the white-hole-connected region of the Schwarzschild black hole is unstable with respect to the rotating perturbation.The stability of the Schwarzschild black hole is restudied in the Painlevé coordinates. Using the Painlevé time coordinate to define the initial time, we reconsider the odd perturbation and find that the Schwarzschild black hole in the Painlevé coordinates is unstable. The Painlevé metric in this paper corresponds to the white-hole-connected region of the Schwarzschild black hole （r 〉 2m） and the odd perturbation may be regarded as the angular perturbation. Therefore, the white-hole-connected region of the Schwarzschild black hole is unstable with respect to the rotating perturbation.

关 键 词：Schwarzschild black hole angular perturbation white-hole-connected region of the Schwarzschild black hole （r 〉 2m） 

分 类 号：P14[天文地球—天体物理]