Second-order gravitational self-force
Adam Pound
- pp 975-977
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In this paper, the equation of motion of a small, compact body in an external vacuum spacetime through second order in the body's mass was derived using a rigorous method of matched asymptotic expansions.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 outline a method of numerically obtaining both the metric of that regular geometry and the complete second-order metric perturbation produced by the body.read more
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