Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 2020
- DOI:
- 10.1103/PhysRevLett.124.021101
- arXiv:
- arXiv:1908.07419
- Bibcode:
- 2020PhRvL.124b1101P
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 6 pages + supplemental material, 3 figures, revised title and two added references