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Restudy of the stability problem of the Schwarzschild black hole |
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| Authors: | Tian Gui-Hu Wang Shi-Kun and Zhao Zheng |
| Affiliation: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China;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>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. |
| Keywords: | Schwarzschild black hole angular perturbation white-hole-connected region of the Schwarzschild black hole (r>2m) |
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