
Abstract 
1 
Introduction and Summary 

1.1 
Invitation 

1.2 
Radiation reaction in flat
spacetime 

1.3 
Green’s functions in flat spacetime 

1.4 
Green’s functions in
curved spacetime 

1.5 
World line and retarded coordinates 

1.6 
Retarded,
singular, and radiative electromagnetic fields of a point electric
charge 

1.7 
Motion of an electric charge in curved spacetime 

1.8 
Motion
of a scalar charge in curved spacetime 

1.9 
Motion of a point mass,
or a black hole, in a background spacetime 

1.10 
Evaluation of
the selfforce 

1.11 
Organization of this review 
2 
General Theory of
Bitensors 

2.1 
Synge’s world function 

2.2 
Coincidence limits 

2.3 
Parallel
propagator 

2.4 
Expansion of bitensors near coincidence 

2.5 
Van Vleck
determinant 
3 
Coordinate Systems 

3.1 
Riemann normal coordinates 

3.2 
Fermi
normal coordinates 

3.3 
Retarded coordinates 

3.4 
Transformation between
Fermi and retarded coordinates; advanced point 
4 
Green’s Functions 

4.1 
Scalar
Green’s functions in flat spacetime 

4.2 
Distributions in curved
spacetime 

4.3 
Scalar Green’s functions in curved spacetime 

4.4 
Electromagnetic
Green’s functions 

4.5 
Gravitational Green’s functions 
5 
Motion of
Point Particles 

5.1 
Motion of a scalar charge 

5.2 
Motion of an electric
charge 

5.3 
Motion of a point mass 

5.4 
Motion of a small black hole 

5.5 
Concluding
remarks 
6 
Acknowledgments 

References 

Footnotes 

Figures 