Part V
Motion of a Small Body
20
Point-particle limits and matched asymptotic expansions
21
Self-consistent expansion
21.1
Introduction
21.2
Field equations in outer expansion
21.3
Field equations in inner expansion
22
General expansion in the buffer region
22.1
Metric expansions
22.2
The form of the expansion
22.3
First-order solution in the buffer region
22.4
Second-order solution in the buffer region
22.5
The equation of motion
22.6
The effect of a gauge transformation on the force
23
Global solution in the external spacetime
23.1
Integral representation
23.2
Metric perturbation in Fermi coordinates
23.3
Equation of motion
24
Concluding remarks
24.1
The motion of a point particle
24.2
The motion of a small body
24.3
Beyond first order
25
Acknowledgments
Living Rev. Relativity
14, (2011), 7
http://www.livingreviews.org/lrr-2011-7
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