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) |
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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)