Phys. Rev. Lett. 86, 1931–1934 (2001)Radiation Reaction and the Self-Force for a Point Mass in General RelativityReceived 1 August 2000; published in the issue dated 5 March 2001 A point particle of mass μ moving on a geodesic creates a perturbation hμ, of the spacetime metric g0, that diverges at the particle. Simple expressions are given for the singular μ/r part of hμ and its quadrupole distortion caused by the spacetime. Subtracting these from hμ leaves a remainder hR that is C1. The self-force on the particle from its own gravitational field corrects the world line at O(μ) to be a geodesic of g0+hR. For the case that the particle is a small nonrotating black hole, an approximate solution to the Einstein equations is given with error of O(μ2) as μ→0. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.1931
DOI:
10.1103/PhysRevLett.86.1931
PACS:
04.25.-g, 04.20.-q, 04.30.Db, 04.70.Bw
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