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Reconsideration of the Regge-Wheeler equation

Guihua Tian·Shikun Wang·Zhao Zheng
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Abstract

Reconsideration of the Regge-Wheeler equation is processed by using the Painlevé 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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Guihua Tian, Shikun Wang, Zhao Zheng. 2005-09-09. Reconsideration of the Regge-Wheeler equation. https://arxiv.org/abs/gr-qc/0509030

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