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Non-linear black hole ringdowns: An analytical approach

Published inNuclear physics. B, vol. 999, 116432
Publication date2024
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.

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Keywords
  • Effect: nonlinear
  • Black hole: quasinormal mode
  • Gravitation
  • Perturbation theory: higher-order
  • Boundary condition
  • Black hole: binary: coalescence
  • Higher-order: 2
  • Black hole: perturbation
Citation (ISO format)
PERRONE, Davide et al. Non-linear black hole ringdowns: An analytical approach. In: Nuclear physics. B, 2024, vol. 999, p. 116432. doi: 10.1016/j.nuclphysb.2023.116432
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ISSN of the journal0550-3213
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Creation18.04.2024 07:21:07
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