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Mitman K, Lagos M, Stein LC, Ma S, Hui L, Chen Y, Deppe N, Hébert F, Kidder LE, Moxon J, Scheel MA, Teukolsky SA, Throwe W, Vu NL. Nonlinearities in Black Hole Ringdowns. Phys Rev Lett 2023; 130:081402. [PMID: 36898092 DOI: 10.1103/physrevlett.130.081402] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/26/2022] [Revised: 11/08/2022] [Accepted: 12/15/2022] [Indexed: 06/18/2023]
Abstract
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 (ℓ,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.
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Affiliation(s)
- Keefe Mitman
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Macarena Lagos
- Department of Physics and Astronomy, Columbia University, New York, New York 10027, USA
| | - Leo C Stein
- Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677, USA
| | - Sizheng Ma
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Lam Hui
- Department of Physics and Astronomy, Columbia University, New York, New York 10027, USA
| | - Yanbei Chen
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Nils Deppe
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - François Hébert
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Lawrence E Kidder
- Cornell Center for Astrophysics and Planetary Science, Cornell University, Ithaca, New York 14853, USA
| | - Jordan Moxon
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Mark A Scheel
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
| | - Saul A Teukolsky
- Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA
- Cornell Center for Astrophysics and Planetary Science, Cornell University, Ithaca, New York 14853, USA
| | - William Throwe
- Cornell Center for Astrophysics and Planetary Science, Cornell University, Ithaca, New York 14853, USA
| | - Nils L Vu
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, D-14476 Potsdam, Germany
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Deppe N, Hébert F, Kidder LE, Throwe W, Anantpurkar I, Armaza C, Bonilla GS, Boyle M, Chaudhary H, Duez MD, Vu NL, Foucart F, Giesler M, Guo JS, Kim Y, Kumar P, Legred I, Li D, Lovelace G, Ma S, Macedo A, Melchor D, Morales M, Moxon J, Nelli KC, O’Shea E, Pfeiffer HP, Ramirez T, Rüter HR, Sanchez J, Scheel MA, Thomas S, Vieira D, Wittek NA, Wlodarczyk T, Teukolsky SA. Simulating magnetized neutron stars with discontinuous Galerkin methods. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.105.123031] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Vu NL, Pfeiffer HP, Bonilla GS, Deppe N, Hébert F, Kidder LE, Lovelace G, Moxon J, Scheel MA, Teukolsky SA, Throwe W, Wittek NA, Włodarczyk T. A scalable elliptic solver with task-based parallelism for the SpECTRE numerical relativity code. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.105.084027] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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