Phys. Rev. Lett. 82, 4388–4391 (1999)Late-Time Decay of Scalar Perturbations Outside Rotating Black HolesReceived 16 November 1998; published in the issue dated 31 May 1999 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). © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4388
DOI:
10.1103/PhysRevLett.82.4388
PACS:
04.70.Bw, 04.25.Nx, 04.40.Nr
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