Second Order Gravitational Self-Force
General Relativity and Quantum Cosmology
2015-06-04 v2
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.
Keywords
Cite
@article{arxiv.1203.3189,
title = {Second Order Gravitational Self-Force},
author = {Samuel E. Gralla},
journal= {arXiv preprint arXiv:1203.3189},
year = {2015}
}