Gravitational waveforms for compact binaries from second-order self-force theory

Abstract

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows first-principles waveform production in tens of milliseconds. Although the approach is designed for extreme mass ratios, our waveforms agree remarkably well with those from full numerical relativity, even for comparable-mass systems. Our results will be invaluable in accurately modelling extreme-mass-ratio inspirals for the LISA mission and intermediate-mass-ratio systems currently being observed by the LIGO-Virgo-KAGRA Collaboration.

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• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
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• Assessing the systematic errors of extreme-mass-ratio inspirals waveforms for testing general relativity
• Toward Second-Order Self-Force for Eccentric Extreme-Mass Ratio Inspirals in Schwarzschild Spacetime
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• Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
• On the approximate relation between black-hole perturbation theory and numerical relativity
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