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Radiation Reaction and the Self-Force for a Point Mass in General Relativity
2001
Physical Review Letters
A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the spacetime. Subtracting these from h leaves a remainder h^R that is C^1. The self-force on the particle from its own gravitational field corrects the worldline at O(m) to be a geodesic of g+h^R. For the case that the particle is a small non-rotating black hole, an
doi:10.1103/physrevlett.86.1931
pmid:11289823
fatcat:wyimka4emngi7prr67ficu44ya