Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

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The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the timesymmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare masses in both solutions, are found to differ from each other at the third post-Newtonian approximation. By shifting the position variables of the black holes t...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1999

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.60.124003