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

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 $\psi (t)\sim t^{-5/6}\sin [\omega (t)\times t]$, where $\omega (t)$ 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.

arXiv comment11 pages, 14 figures, published version

References in corpus (9)

• Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
• Asymptotic tails of massive scalar fields in Schwarzschild background
• Late-time evolution of nonlinear gravitational collapse
• Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background
• Slowly decaying tails of massive scalar fields in spherically symmetric spacetimes
• Late-time evolution of a self-interacting scalar field in the spacetime of dilaton black hole
• Radiative falloff in the background of rotating black hole
• Perturbations of the Kerr spacetime in horizon penetrating coordinates
• Massive fields tend to form highly oscillating self-similarly expanding shells

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