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Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis

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arxiv 2008.06071 v1 pith:4GKCAUH3 submitted 2020-08-13 gr-qc

Alvin J. K. Chua , Michael L. Katz , Niels Warburton , Scott A. Hughes This is my paper
classification gr-qc
keywords waveformanalysislisatemplateswaveformsdatafullygeneration
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abstract

The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the challenges of strong-field complexity with that of long-lived signals. Such signals are found and characterized by comparing them against a large number of accurate waveform templates during data analysis, but the rapid generation of such templates is hindered by computing the $\sim10^3$-$10^5$ harmonic modes in a fully relativistic waveform. We use order-reduction and deep-learning techniques to derive a global fit for these modes, and implement it in a complete waveform framework with hardware acceleration. Our high-fidelity waveforms can be generated in under $1\,\mathrm{s}$, and achieve a mismatch of $\lesssim 5\times 10^{-4}$ against reference waveforms that take $\gtrsim 10^4$ times longer. This marks the first time that analysis-length waveforms with full harmonic content can be produced on timescales useful for direct implementation in LISA analysis algorithms.

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Cited by 10 Pith papers

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