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

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arxiv 1908.07419 v3 pith:KVOIO3TE submitted 2019-08-20 gr-qc

classification gr-qc
keywords self-forcesecond-orderbinariesbindingeffectsenergygravitationalaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 17 Pith papers

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