Self-force framework for transition-to-plunge waveforms
arxiv(2024)
摘要
Compact binaries with asymmetric mass ratios are key expected sources for
next-generation gravitational wave detectors. Gravitational self-force theory
has been successful in producing post-adiabatic waveforms that describe the
quasi-circular inspiral around a non-spinning black hole with sub-radian
accuracy, in remarkable agreement with numerical relativity simulations.
Current inspiral models, however, break down at the innermost stable circular
orbit, missing part of the waveform as the secondary body transitions to a
plunge into the black hole. In this work we derive the transition-to-plunge
expansion within a multiscale framework and asymptotically match its early-time
behaviour with the late inspiral. Our multiscale formulation facilitates rapid
generation of waveforms: we build second post-leading transition-to-plunge
waveforms, named 2PLT waveforms. Although our numerical results are limited to
low perturbative orders, our framework contains the analytic tools for building
higher-order waveforms consistent with post-adiabatic inspirals, once all the
necessary numerical self-force data becomes available. We validate our
framework by comparing against numerical relativity simulations, surrogate
models and the effective one-body approach.
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