Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-03-14
AnnalenPhys.9:378-383,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Will appear in: Proceedings of the International European Conference on Gravitation "Journ\'ees Relativistes 99", September 12
Scientific paper
10.1002/(SICI)1521-3889(200005)9
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.
Jaranowski Piotr
Schäfer Gerhard
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