Post-ISCO Ringdown Amplitudes in Extreme Mass Ratio Inspiral

Abstract

An extreme mass ratio inspiral consists of two parts: adiabatic inspiral and plunge. The plunge trajectory from the innermost stable circular orbit (ISCO) is special (somewhat independent of initial conditions). We write an expression for its solution in closed-form and for the emitted waveform. In particular we extract an expression for the associated black-hole ringdown amplitudes, and evaluate them numerically.

21 pages, 5 figures. v4: added section with numerical evaluation of the ringdown amplitudes

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