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

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

2008-03-04

arxiv.org/abs/0803.0501v2

Phys.Rev.D77:124018,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 6 figures, typos corrected, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.77.124018

We 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.

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