Self-force and radial fall: new integration method for the Zerilli wave equation

Details Self-force and radial fall: new integration method for the Zerilli wave equation Self-force and radial fall: new integration method for the Zerilli wave equation

2010-03-16

arxiv.org/abs/1003.3107v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the XII Marcel Grossmann Meeting Proceedings, 12-18 July 2009 Paris, World Scientific. For v2, there is an added

Scientific paper

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.

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