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arXiv · 1908.07419

Second-order self-force calculation of the gravitational binding energy in compact binaries

Adam Pound·Barry Wardell·Niels Warburton·Jeremy Miller
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Abstract

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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Adam Pound, Barry Wardell, Niels Warburton, Jeremy Miller. 2019-11-19. Second-order self-force calculation of the gravitational binding energy in compact binaries. https://doi.org/10.1103/physrevlett.124.021101

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