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2024

Nonlinear effect of absorption on the ringdown of a spinning black hole

May, Taillte, Ma, Sizheng, Ripley, Justin L. et al.

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The ringdown gravitational wave signal arising e.g., in the final stage of a black hole binary merger, contains important information about the properties of the remnant, and can potentially be used to perform clean tests of general relativity.

However, interpreting the ringdown signal, in particular when it is the loudest, requires understanding the role of nonlinearities and their potential impact on modelling this phase using quasinormal modes.
Here, we focus on a particular nonlinear effect arising from the change in the black hole's mass and spin due to the partial absorption of a quasinormal perturbation.
We isolate and systematically study this third-order, secular effect by evolving the equations governing linear metric perturbations on the background of a spinning black hole, but allowing the properties of the background to evolve in a prescribed way.

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