[1201.5089] Second-order gravitational self-force

Authors: Adam Pound

Date: 24 Jan 2012

Abstract: Using a rigorous method of matched asymptotic expansions, I derive the equation of motion of a small, compact body in an external vacuum spacetime through second order in the body's mass (neglecting effects of internal structure). The motion is found to be geodesic in a certain locally defined regular geometry satisfying Einstein's equation at second order. I provide a practical scheme for numerically obtaining both the metric of that regular geometry and the complete second-order metric perturbation produced by the body.

abs pdf

Jan 25, 2012

1201.5089 (/preprints)
2012-01-25, 10:34 [edit]


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