Late-Time Dynamics of Scalar Fields on Rotating Black Hole Backgrounds

Abstract

Motivated by results of recent analytic studies, we present a numerical investigation of the late-time dynamics of scalar test fields on Kerr backgrounds. We pay particular attention to the issue of mixing of different multipoles and their fall-off behavior at late times. Confining ourselves to the special case of axisymmetric modes with equatorial symmetry, we show that, in agreement with the results of previous work, the late-time behavior is dominated by the lowest allowed l-multipole. However the numerical results imply that, in general, the late-time fall-off of the dominating multipole is different from that in the Schwarzschild case, and seems to be incompatible with a result of a recently published analytic study.

4 pages, 4 Encapsulated Postscript figures, submitted to Phys. Rev. D

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
• Mode-Coupling in Rotating Gravitational Collapse of a Scalar Field

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