Self-force via a Green's function decomposition

Details Self-force via a Green's function decomposition Self-force via a Green's function decomposition

2002-02-25

arxiv.org/abs/gr-qc/0202086v3

Phys.Rev.D67:024025,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

PRD, in press. Enhanced emphasis on the equivalence principle

Scientific paper

10.1103/PhysRevD.67.024025

The gravitational field of a particle of small mass \mu moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(\mu). One part is an inhomogeneous field which, near the particle, looks like the \mu/r field distorted by the local Riemann tensor; it does not depend on the behavior of the source in either the infinite past or future. The other part is a homogeneous field and includes the ``tail term''; it completely determines the self force effects of the particle interacting with its own gravitational field, including radiation reaction. Self force effects for scalar, electromagnetic and gravitational fields are all described in this manner.

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