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Universality of massive scalar field late-time tails in black-hole spacetimes

Lior M. Burko·G. Khanna
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Abstract

The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior of the field as recorded by a static observer is given by $ψ(t)\sim t^{-5/6}\sin [ω(t)\times t]$, where $ω(t)$ depends weakly on time. This result is carried over to the case of a Kerr black hole. In particular, it is found that the power-law index of -5/6 depends on neither the multipole mode $\ell$ nor on the spin rate of the black hole $a/M$. In all black hole spacetimes, massive scalar fields have the same late-time behavior irrespective of their initial data (i.e., angular distribution). Their late-time behavior is universal.

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Lior M. Burko, G. Khanna. 2004-08-26. Universality of massive scalar field late-time tails in black-hole spacetimes. https://doi.org/10.1103/physrevd.70.044018

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