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5 Motion of Point Particles

 5.1 Motion of a scalar charge
  5.1.1 Dynamics of a point scalar charge
  5.1.2 Retarded potential near the world line
  5.1.3 Field of a scalar charge in retarded coordinates
  5.1.4 Field of a scalar charge in Fermi normal coordinates
  5.1.5 Singular and radiative fields
  5.1.6 Equations of motion
 5.2 Motion of an electric charge
  5.2.1 Dynamics of a point electric charge
  5.2.2 Retarded potential near the world line
  5.2.3 Electromagnetic field in retarded coordinates
  5.2.4 Electromagnetic field in Fermi normal coordinates
  5.2.5 Singular and radiative fields
  5.2.6 Equations of motion
 5.3 Motion of a point mass
  5.3.1 Dynamics of a point mass
  5.3.2 Retarded potentials near the world line
  5.3.3 Gravitational field in retarded coordinates
  5.3.4 Gravitational field in Fermi normal coordinates
  5.3.5 Singular and radiative fields
  5.3.6 Equations of motion
  5.3.7 Gauge dependence of the equations of motion
 5.4 Motion of a small black hole
  5.4.1 Matched asymptotic expansions
  5.4.2 Metric in the internal zone
  5.4.3 Metric in the external zone
  5.4.4 Transformation from external to internal coordinates
  5.4.5 Motion of the black hole in the background spacetime
 5.5 Concluding remarks
  5.5.1 Conservation of energy-momentum
  5.5.2 Averaging method
  5.5.3 Detweiler–Whiting axiom
  5.5.4 Matched asymptotic expansions
  5.5.5 Evaluation of the gravitational self-force
  5.5.6 Beyond the self-force

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