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The binary black‐hole dynamics at the third post‐Newtonian order in the orbital motion
Author(s) -
Jaranowski P.,
Schäfer G.
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(200005)9:3/5<378::aid-andp378>3.0.co;2-m
Subject(s) - physics , dynamics (music) , binary number , orbital mechanics , newtonian dynamics , orbital motion , motion (physics) , newtonian fluid , classical mechanics , order (exchange) , binary black hole , astrophysics , astronomy , angular momentum , mathematics , gravitational wave , arithmetic , satellite , finance , acoustics , economics
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.