"The Motion of Point Particles in Curved Spacetime"
by
Eric Poisson and Adam Pound and Ian Vega
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Abstract
1
Introduction and summary
2
Computing the self-force: a 2010 literature survey
3
Synge’s world function
4
Coincidence limits
5
Parallel propagator
6
Expansion of bitensors near coincidence
7
van Vleck determinant
8
Riemann normal coordinates
9
Fermi normal coordinates
10
Retarded coordinates
11
Transformation between Fermi and retarded coordinates; advanced point
12
Scalar Green’s functions in flat spacetime
13
Distributions in curved spacetime
14
Scalar Green’s functions in curved spacetime
15
Electromagnetic Green’s functions
16
Gravitational Green’s functions
17
Motion of a scalar charge
18
Motion of an electric charge
19
Motion of a point mass
20
Point-particle limits and matched asymptotic expansions
21
Self-consistent expansion
22
General expansion in the buffer region
23
Global solution in the external spacetime
24
Concluding remarks
25
Acknowledgments
A
Second-order expansions of the Ricci tensor
B
STF multipole decompositions
References
Updates
Figures
Tables