Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 15, 2024 | Published
Journal Article Open

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

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 =|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.

Copyright and License

© 2024 American Physical Society.

Acknowledgement

We thank Emanuele Berti, Alejandro Cárdenas-Avendaño, Mark Cheung, William East, Will Farr, Elena Giorgi, Lam Hui, Maximiliano Isi, Macarena Lagos, Lionel London, Nicholas Loutrel, Harrison Siegel, and Zihan Zhou for helpful discussions regarding various aspects of this project. H. Z. especially thank Will Farr, Maximiliano Isi, and Harrison Siegel for hosting stimulating discussions at the Flatiron institute, and Lam Hui and Macarena Lagos at Columbia University, where several of the key ideas presented in this paper were developed. The authors are pleased to acknowledge that the work reported on in this paper was substantially performed using the Princeton Research Computing resources at Princeton University which is a consortium of groups led by the Princeton Institute for Computational Science and Engineering (PICSciE) and Office of Information Technology’s Research Computing. Part of the computations for this work were also performed with the Wheeler cluster at Caltech. This work was supported in part by the Sherman Fairchild Foundation and NSF Grants No. PHY-2011968, No. PHY-2011961, No. PHY-2309211, No. PHY-2309231, No. OAC-2209656 at Caltech, and NSF Grants No. PHY-2207342 and No. OAC-2209655 at Cornell. J. L. R. acknowledges support from the Simons Foundation through Award No. 896696 and the NSF through the Award No. PHY-2207650. F. P. acknowledges support from the NSF through the Award No. PHY-2207286.

Data Availability

tex file and 8 figures, showing tetrad conventions, resolution and convergence of numerical simulations, and further evidence for the counter-rotating modes as discussed in the main text

Files

PhysRevD.109.104050.pdf
Files (1.7 MB)
Name Size Download all
md5:c8b1a9bd685dba6355a9553b07c94e47
275.1 kB Preview Download
md5:e811f0b01bba9146eaf4f04390a424c7
1.4 MB Preview Download

Additional details

Created:
May 22, 2024
Modified:
May 22, 2024