Indirect (source-free) integration method. II. Self-force consistent radial fall
General Relativity and Quantum Cosmology
2016-03-22 v1 High Energy Astrophysical Phenomena
Mathematical Physics
math.MP
Abstract
We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic gauge for this orbit. We consider also the motion subjected to a self-consistent and iterative correction determined by the self-force through osculating stretches of geodesics. The convergence of the results confirms the validity of the integration method. This work complements and justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod. Phys., 11, 1450090 (2014).
Cite
@article{arxiv.1511.04277,
title = {Indirect (source-free) integration method. II. Self-force consistent radial fall},
author = {P. Ritter and S. Aoudia and A. Spallicci and S. Cordier},
journal= {arXiv preprint arXiv:1511.04277},
year = {2016}
}
Comments
To appear in Int. J. Geom. Meth. Mod. Phys