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Mode-Coupling in Rotating Gravitational Collapse of a Scalar Field

Shahar Hod
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Abstract

We present an analytic study of the mode-coupling phenomena for a scalar field propagating on a rotating Kerr background. Physically, this phenomena is caused by the dragging of reference frames, due to the black-hole (or star's) rotation. We find that different modes become mixed during the evolution and the asymptotic late-time tails are dominated by a mode which, in general, has an angular distribution different from the original one. We show that a rotating Kerr black hole becomes `bald' slower than a spherically-symmetric Schwarzschild black hole.

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Shahar Hod. 1999-12-29. Mode-Coupling in Rotating Gravitational Collapse of a Scalar Field. https://doi.org/10.1103/physrevd.61.024033

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