Nonlinear effects in black hole ringdown from scattering experiments: Spin and initial data dependence of quadratic mode coupling

Hengrui Zhu, Justin L. Ripley, Frans Pretorius, Sizheng Ma, Keefe Mitman, Robert Owen, Michael Boyle, Yitian Chen, Nils Deppe, Lawrence E. Kidder, Jordan Moxon, Kyle C. Nelli, Harald P. Pfeiffer, Mark A. Scheel, William Throwe, Nils L. Vu

Research output: Contribution to journalArticlepeer-review

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Abstract

We investigate quadratic quasinormal mode coupling in black hole spacetime through numerical experiments of single perturbed black holes using both numerical relativity and second-order black hole perturbation theory. Focusing on the dominant ℓ=|m|=2 quadrupolar modes, we find good agreement (within ∼10%) between these approaches, with discrepancies attributed to truncation error and uncertainties from mode fitting. Our results align with earlier studies extracting the coupling coefficients from select binary black hole merger simulations, showing consistency for the same remnant spins. Notably, the coupling coefficient is insensitive to a diverse range of initial data, including configurations that led to a significant (up to 5%) increase in the remnant black hole mass. These findings present opportunities for testing the nonlinear dynamics of general relativity with ground-based gravitational wave observatories. Lastly, we provide evidence of a bifurcation in coupling coefficients between counterrotating and corotating quasinormal modes as black hole spin increases.

Original languageEnglish (US)
Article number104050
JournalPhysical Review D
Volume109
Issue number10
DOIs
StatePublished - May 15 2024

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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