Reconsideration of the Regge-Wheeler equation
classification
🌀 gr-qc
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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