Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries

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Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries

Pound, Adam; Wardell, Barry; Warburton, Niels; Miller, Jeremy

Physical review letters, 2020-Jan-17, Volume: 124, Issue: 2

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Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical, but calculations of these effects have been beset by obstacles. In this Letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.

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Pound, Adam | Wardell, Barry | Warburton, Niels | Miller, Jeremy

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