Regular second order perturbations of extreme mass ratio black hole binaries
arXiv:gr-qc/0701039
Abstract
We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build up from products of first order metric perturbations and its derivatives. We have explicitly regularized this source term at the particle location as well as at the horizon and at spatial infinity.
arXiv comment4 pages, prepared for the proceedings of the 16th workshop on general relativity and gravitation, Niigata, Japan, Nov.27 - Dec.1, 2006
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