Mode-Coupling in Rotating Gravitational Collapse of a Scalar Field

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.

20 pages

References in corpus (3)

• Late-time decay of scalar perturbations outside rotating black holes
• Late time dynamics of scalar perturbations outside black holes: II. Schwarzschild geometry
• Late-Time Evolution of Realistic Rotating Collapse and The No-Hair Theorem

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