Pound Adam, Wardell Barry, Warburton Niels, Miller Jeremy
School of Mathematical Sciences and STAG Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom.
School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland.
Phys Rev Lett. 2020 Jan 17;124(2):021101. doi: 10.1103/PhysRevLett.124.021101.
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.
