The binary black-hole dynamics at the third post-Newtonian order in the orbital motion
General Relativity and Quantum Cosmology
2017-09-27 v1
Abstract
The orbital dynamics of the binary point-mass systems is ambiguous at the third post-Newtonian order of approximation. The static ambiguity is known to be related to the difference between the Brill-Lindquist solution and the Misner-Lindquist solution of the time-symmetric conformally flat initial value problem for binary black holes. The kinetic ambiguity is noticed to violate in general the standard relation between the center-of-mass velocity and the total linear momentum as demanded by global Lorentz invariance.
Keywords
Cite
@article{arxiv.gr-qc/0003054,
title = {The binary black-hole dynamics at the third post-Newtonian order in the orbital motion},
author = {Piotr Jaranowski and Gerhard Schäfer},
journal= {arXiv preprint arXiv:gr-qc/0003054},
year = {2017}
}
Comments
Will appear in: Proceedings of the International European Conference on Gravitation "Journ\'ees Relativistes 99", September 12-17, 1999, Weimar/Germany Annalen der Physik (Leipzig), Vol. 9