Nonlinearities in Black Hole Ringdowns
| Autor: | Mitman, Keefe, Lagos, Macarena, Stein, Leo C., Ma, Sizheng, Hui, Lam, Chen, Yanbei, Deppe, Nils, Hébert, François, Kidder, Lawrence E., Moxon, Jordan, Scheel, Mark A., Teukolsky, Saul A., Throwe, William, Vu, Nils L. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 130, 081402 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.130.081402 |
| Popis: | The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling ringdowns from BH merger simulations. Focusing on the strain's $(\ell,m)=(4,4)$ angular harmonic, we show the presence of a quadratic effect across a range of binary BH mass ratios that agrees with theoretical expectations. We find that the quadratic $(4,4)$ mode's amplitude exhibits quadratic scaling with the fundamental $(2,2)$ mode -- its parent mode. The nonlinear mode's amplitude is comparable to or even larger than that of the linear $(4,4)$ mode. Therefore, correctly modeling the ringdown of higher harmonics -- improving mode mismatches by up to 2 orders of magnitude -- requires the inclusion of nonlinear effects. Comment: 6+2 pages, 4 figures, 1 table. Matches PRL version |
| Databáze: | arXiv |
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