Possible discovery of a nonlinear tail and second-order quasinormal modes in black hole ringdown

dc.creatorOkuzumi, Satoshi
dc.creatorIoka, Kunihito
dc.creatorSakagami, Masa-aki
dc.date2008-03-04
dc.date2008-06-04
dc.date.accessioned2026-07-07T11:40:37Z
dc.date.available2026-07-07T11:40:37Z
dc.descriptionWe investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we find that (i) second-order quasinormal modes (QNMs) are indeed excited at frequencies different from those of first-order QNMs, as predicted recently. We also find serendipitously that (ii) late-time evolution is dominated by a new type of power-law tail. This ``second-order power-law tail'' decays more slowly than any late-time tails known in the first-order (i.e., linear) perturbation theory, and is generated at the wavefront of the first-order perturbation by an essentially nonlinear mechanism. These nonlinear components should be particularly significant for binary black hole coalescences, and could open a new precision science in gravitational wave studies.
dc.description13 pages, 6 figures, typos corrected, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0803.0501
dc.identifierhttp://arxiv.org/abs/0803.0501
dc.identifierPhys.Rev.D77:124018,2008
dc.identifierdoi:10.1103/PhysRevD.77.124018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200309
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titlePossible discovery of a nonlinear tail and second-order quasinormal modes in black hole ringdown
dc.typetext

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