Restudy of the stability problem of the Schwarzschild black hole
Tian Gui-Hua (田贵花)ab, Wang Shi-Kun (王世坤)b, Zhao Zheng (赵峥)c
a School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; b Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China; c Department of Physics, Beijing Normal University, Beijing 100875, China
Abstract 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 ($r>2$ m) 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.
Received: 26 January 2006
Revised: 03 April 2006
Accepted manuscript online:
Fund: 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.
Cite this article:
Tian Gui-Hua (田贵花), Wang Shi-Kun (王世坤), Zhao Zheng (赵峥) Restudy of the stability problem of the Schwarzschild black hole 2006 Chinese Physics 15 1430
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