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

被引：19

作者：

Zhu, Hengrui ^{[1
,2
]}

Ripley, Justin L. ^{[3
,4
]}

Pretorius, Frans ^{[1
,2
]}

Ma, Sizheng ^{[5
]}

Mitman, Keefe ^{[6
]}

Owen, Robert ^{[7
]}

Boyle, Michael ^{[8
]}

Chen, Yitian ^{[8
]}

Deppe, Nils ^{[8
,9
]}

Kidder, Lawrence E. ^{[8
]}

Moxon, Jordan ^{[6
]}

Nelli, Kyle C. ^{[6
]}

Pfeiffer, Harald P. ^{[10
]}

Scheel, Mark A. ^{[6
]}

Throwe, William ^{[8
]}

Vu, Nils L. ^{[6
]}

机构：

[1] Princeton Univ, Dept Phys, Jadwin Hall,Washington Rd, Princeton, NJ 08544 USA

[2] Princeton Univ, Princeton Grav Initiat, Princeton, NJ 08544 USA

[3] Univ Illinois, Illinois Ctr Adv Studies Universe, Urbana, IL 61801 USA

[4] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

[5] Perimeter Inst Theoret Phys, 31 Caroline St North, Waterloo, ON NSL 2Y5, Canada

[6] CALTECH, Walter Burke Inst Theoret Phys, Theoret Astrophys, Pasadena, CA 91125 USA

[7] Oberlin Coll, Dept Phys & Astron, Oberlin, OH 44074 USA

[8] Cornell Univ, Cornell Ctr Astrophys & Planetary Sci, Ithaca, NY 14853 USA

[9] Cornell Univ, Dept Phys, Ithaca, NY 14853 USA

[10] Max Planck Inst Grav Phys, Albert Einstein Inst, Am Muhlenberg 1, D-14476 Potsdam, Germany

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 10期

关键词：

QUASI-NORMAL MODES; GRAVITATIONAL-WAVES; PERTURBATIONS; RELATIVITY; EXTRACTION;

D O I：

10.1103/PhysRevD.109.104050

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 1/4 jmj 1/4 2 quadrupolar modes, we find good agreement (within similar to 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.

引用

页数：9

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