Abstract
The second-order gravitational self-force on a small body is an important problem for gravitational-wave astronomy of extreme mass-ratio inspirals. We give a first-principles derivation of a prescription for computing the first and second perturbed metric and motion of a small body moving through a vacuum background spacetime. The procedure involves solving for a "regular field" with a specified (sufficiently smooth) "effective source", and may be applied in any gauge that produces a sufficiently smooth regular field.
| Original language | English (US) |
|---|---|
| Article number | 124011 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 85 |
| Issue number | 12 |
| DOIs | |
| State | Published - Jun 4 2012 |
| Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)