Self-force and radial fall: new integration method for the Zerilli wave equation
General Relativity and Quantum Cosmology
2010-05-11 v3 Cosmology and Nongalactic Astrophysics
Mathematical Physics
math.MP
General Physics
Abstract
We establish the jump conditions for the wavefunction and its derivatives through the formal solutions of the wave equation. These conditions respond to the requirement of continuity of the perturbations at the position of the particle and they are given for any mode at first order. Using these jump conditions, we then propose a new method for computing the radiated waveform without direct integration of the source term. We consider this approach potentially applicable to generic orbits.
Keywords
Cite
@article{arxiv.1003.3107,
title = {Self-force and radial fall: new integration method for the Zerilli wave equation},
author = {Sofiane Aoudia and Alessandro D. A. M. Spallicci},
journal= {arXiv preprint arXiv:1003.3107},
year = {2010}
}
Comments
To appear in the XII Marcel Grossmann Meeting Proceedings, 12-18 July 2009 Paris, World Scientific. For v2, there is an added reference. For v3, we have fixed some editorial errors in the time and second derivatives of the wavefunction.