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Late-time decay of scalar perturbations outside rotating black holes

Leor Barack·Amos Ori
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Abstract

We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed $r$), at future null infinity, and along the event horizon (EH). In all three asymptotic regions we find a power-law decay. We show that the power indices describing the decay of the various modes at fixed $r$ differ from the corresponding Schwarzschild values. Also, the scalar field oscillates along the null generators of the EH (with advanced-time frequency proportional to the mode's magnetic number $m$).

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Leor Barack, Amos Ori. 1999-02-28. Late-time decay of scalar perturbations outside rotating black holes. https://doi.org/10.1103/physrevlett.82.4388

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