Resonant dynamics of extreme mass-ratio inspirals in a perturbed Kerr spacetime
Zhen Pan,
Huan Yang,
Laura Bernard
et al.
Abstract:Extreme mass-ratio inspirals (EMRIs) are one of the most sensitive probes of black hole spacetimes with gravitational-wave measurements. In this work, we systematically analyze the dynamics of an EMRI system near orbital resonances, assuming the background spacetime is weakly perturbed from Kerr. Using the action-angle formalism, we have derived an effective resonant Hamiltonian that describes the dynamics of the resonant degree of freedom, for the case that the EMRI motion across the resonance regime. This ef… Show more
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