A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the peak amplitude.
Inspirals from the innermost stable circular orbit of Kerr black holes: Exact solutions and universal radial flow
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abstract
We present exact solutions of test particle orbits spiralling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum $a$-parameter of the Kerr metric. These solutions are of considerable physical interest. In particular, the radial 4-velocity of these orbits is both remarkably simple and, with the radial coordinate scaled by its ISCO value, universal in form, otherwise completely independent of the black hole spin.
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Self-force framework for merger-ringdown waveforms
A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the peak amplitude.