The binary black-hole dynamics at the third post-Newtonian order in the orbital motion. (English) Zbl 0971.83041
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 violates in general the standard relation between the center-of-mass velocity and the total linear momentum as demanded by global Lorentz invariance. The authors show that the kinetic ambiguity can be fixed by center-of-mass motion considerations.
Reviewer: Klaus Brod (Wiesbaden)
MSC:
| 83C57 | Black holes |
| 83C10 | Equations of motion in general relativity and gravitational theory |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
Keywords:
orbital dynamics; binary point-mass systems; time-symmetric conformally flat initial value problem; binary black holes; kinetic ambiguityReferences:
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