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Self-force via a Green’s function decomposition
The gravitational field in a neighborhood of a particle of small mass $\ensuremath{\mu}$ moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through $O(\ensuremath{\mu}).$ One part is an inhomogeneous field which looks like the $\ensuremath{\mu}/r$ field tidally distorted by the local …