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Radiative falloff in the background of rotating black hole
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abstract
We study numerically the late-time tails of linearized fields with any spin $s$ in the background of a spinning black hole. Our code is based on the ingoing Kerr coordinates, which allow us to penetrate through the event horizon. The late time tails are dominated by the mode with the least multipole moment $\ell$ which is consistent with the equatorial symmetry of the initial data and is equal to or greater than the least radiative mode with $s$ and the azimuthal number $m$.
Forward citations
Cited by 4 Pith papers
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Nonlinearities of Schwarzschild Black Hole Head-on Collisions
Quadratic quasi-normal mode amplitudes in Schwarzschild head-on collisions can be derived analytically via second-order perturbation theory bootstrapping.
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Analysis of late-time tails in spin-aligned eccentric binary black hole mergers
Late-time gravitational-wave tails from eccentric, spin-aligned black hole mergers decay as t^-(l+4) for psi4 in all six modes studied, with same-l modes sharing identical exponents.
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The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown
The known t^{-(2L+2)} nonlinear ringdown tail is rederived via AdS2 x S2, with a proposed but incorrectly normalized Aretakis amplitude relation.
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The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective
Nonlinear ringdown tails in the transverse-traceless gauge decay as t^{-(2ℓ+1)}, and this paper rederives that law from in-in scattering diagrams.
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