Non-linear Black Hole Ringdowns: an Analytical Approach
arXiv:2308.15886 · doi:10.1016/j.nuclphysb.2023.116432
Abstract
Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in black hole perturbation theory which takes advantage from the fact that the non-linear sources are peaked around the light ring. As a byproduct, we describe why the amplitude of the second-order mode relative to the square of the first-order amplitude depends only weakly on the initial condition of the problem.
23 pages, 4 figures, V2, published version
References in corpus (5)
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Cited by in corpus (16)
- Extracting linear and nonlinear quasinormal modes from black hole merger simulations
- Ringdown stability: greybody factors as stable gravitational-wave observables
- The excitation of quadratic quasinormal modes for Kerr black holes
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- Nonlinear quasinormal mode detectability with next-generation gravitational wave detectors
- Searching for ringdown higher modes with a numerical relativity-informed post-merger model
- Ringdown amplitudes of nonspinning eccentric binaries
- Greybody factors, reflectionless scattering modes, and echoes of ultracompact horizonless objects
- Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole
- Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones
- Amplitudes and Polarizations of Quadratic Quasi-Normal Modes for a Schwarzschild Black Hole
- Black-hole spectroscopy: quasinormal modes, ringdown stability and the pseudospectrum
- Quadratic Mode Couplings in Rotating Black Holes and Their Detectability
- The second-order quasi-normal modes for AdS black branes
- Numerical computation of electromagnetically sourced nonlinear tails
- Excitation factors for horizonless compact objects: long-lived modes, echoes, and greybody factors