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The binary black-hole dynamics at the third post-Newtonian order in the orbital motion

Piotr Jaranowski·Gerhard Schäfer
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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.

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Piotr Jaranowski, Gerhard Schäfer. 2000-03-14. The binary black-hole dynamics at the third post-Newtonian order in the orbital motion. https://doi.org/10.1002/(sici)1521-3889(200005)9%3A3%2F5%3C378%3A%3Aaid-andp378%3E3.0.co%3B2-m

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