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arXiv · 1203.3189

Second Order Gravitational Self-Force

Samuel E. Gralla
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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.

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Samuel E. Gralla. 2012-06-13. Second Order Gravitational Self-Force. https://doi.org/10.1103/physrevd.85.124011

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