Radiation reaction and the self-force for a point mass in general relativity

Details Radiation reaction and the self-force for a point mass in general relativity Radiation reaction and the self-force for a point mass in general relativity

2000-11-11

arxiv.org/abs/gr-qc/0011039v1

Phys.Rev.Lett.86:1931-1934,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, RevTex

Scientific paper

10.1103/PhysRevLett.86.1931

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 approximate solution to the Einstein equations is given with error of O(m^2) as m approaches 0.

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