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Nonlinear ringdown at the black hole horizon

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arxiv 2306.11142 v3 pith:ZV3ONXGD submitted 2023-06-19 gr-qc

Neev Khera , Ariadna Ribes Metidieri , Béatrice Bonga , Xisco Jiménez Forteza , Badri Krishnan , Eric Poisson , Daniel Pook-Kolb , Erik Schnetter
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Huan Yang
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classification gr-qc
keywords blackholequadraticmodesamplitudesdatafrequencieshorizon
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abstract

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate these frequencies. Recently, it was shown that second-order effects are necessary in binary black hole merger simulations to model the gravitational-wave signal observed by a distant observer. Here, we show that the horizon of a newly formed black hole after the head-on collision of two black holes also shows evidence of non-linear modes. Specifically, we identify one quadratic mode for the $l=2$ shear data, and two quadratic ones for the $l=4,6$ data in simulations with varying mass ratio and boost parameter. The quadratic mode amplitudes display a quadratic relationship with the amplitudes of the linear modes that generate them.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Direct Waves in Black Hole Ringdowns

    gr-qc 2025-09 conditional novelty 7.0 of 10

    Merger gravitational wave signals contain a 'direct wave' from the plunging companions, screened by the remnant's potential, with frequency near the superradiant value for high-spin remnants and SNR above 10 in GW1509...

  2. GW250114 reveals black hole horizon signatures

    gr-qc 2025-10 conditional novelty 6.0 of 10

    The merger signal of GW250114 contains a residual 'direct wave' component whose frequency and damping match the remnant horizon's rotation frequency and surface gravity.

  3. The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The known t^{-(2L+2)} nonlinear ringdown tail is rederived via AdS2 x S2, with a proposed but incorrectly normalized Aretakis amplitude relation.

  4. The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective

    gr-qc 2025-07 conditional novelty 4.0 of 10

    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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