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

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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