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

William Krivan
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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.

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William Krivan. 1999-07-08. Late-Time Dynamics of Scalar Fields on Rotating Black Hole Backgrounds. https://doi.org/10.1103/physrevd.60.101501

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