Second-order self-force calculation of the gravitational binding energy in compact binaries
General Relativity and Quantum Cosmology
2020-01-22 v3
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.
Keywords
Cite
@article{arxiv.1908.07419,
title = {Second-order self-force calculation of the gravitational binding energy in compact binaries},
author = {Adam Pound and Barry Wardell and Niels Warburton and Jeremy Miller},
journal= {arXiv preprint arXiv:1908.07419},
year = {2020}
}
Comments
6 pages + supplemental material, 3 figures, revised title and two added references