Reconsideration of the Regge-Wheeler equation

Guihua Tian; Shikun Wang; Zhao Zheng

Reconsideration of the Regge-Wheeler equation

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arxiv gr-qc/0509030 v1 pith:MUHCCTBR submitted 2005-09-09 gr-qc

Guihua Tian , Shikun Wang , Zhao Zheng This is my paper · ORCID

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keywords equationregge-wheelerblackholeperturbationreconsiderationschwarzschildangular

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Reconsideration of the Regge-Wheeler equation is processed by using the Painlev\'{e} coordinate and "good" timelier to define the initial time. We find that: the Regge-Wheeler equation could has positive imaginary frequency. Because the Regge-Wheeler equation is the odd (angular) perturbation to the Schwarzschild black hole, the conclusion is that the Schwarzschild black hole is unstable with respect to the rotating perturbation.

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