Lior M Burko 2006 Class. Quantum Grav. 23 4281 doi:10.1088/0264-9381/23/12/021
Lior M Burko
Show affiliationsComparing the corrections to Kepler's law with orbital evolution under a self-force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild black hole of an extreme mass ratio binary, and determine the first- and second-order conservative gravitational self-force in a post-Newtonian expansion. We use these results in the construction of the gravitational waveform, and revisit the question of the relative contribution of the self-force and spin–orbit coupling.
04.70.Bw Classical black holes
04.30.Db Wave generation and sources
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
83C25 Approximation procedures, weak fields
83C40 Gravitational energy and conservation laws; groups of motions
Issue 12 (21 June 2006)
Received 6 April 2006
Published 5 June 2006
Lior M Burko 2006 Class. Quantum Grav. 23 4281
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