Non-linear black hole ringdowns: An analytical approach
Davide Perrone, T. Barreira, Alex Kehagias, Antonio Riotto
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.
Topics & Concepts
AmplitudePhysicsPerturbation theory (quantum mechanics)Perturbation (astronomy)Black hole (networking)Square (algebra)Order (exchange)First orderQuantum mechanicsMathematicsGeometryApplied mathematicsComputer scienceEconomicsFinanceRouting protocolComputer networkRouting (electronic design automation)Link-state routing protocolPulsars and Gravitational Waves ResearchAstrophysical Phenomena and ObservationsBlack Holes and Theoretical Physics