Non-uniqueness of the third post-Newtonian binary point-mass dynamics
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چکیده
It is shown that the recently found non-uniqueness of the third post-Newtonian binary point-mass ADM-Hamiltonian is related to the non-uniqueness at the third post-Newtonian approximation of the applied ADM-coordinate conditions. PACS number(s): 04.25.Nx, 04.30.Db, 97.60.Jd, 97.60.Lf In a recent paper [1] the authors reported on the non-uniqueness of the 3rd post-Newtonian ADM-Hamiltonian for binary point-mass systems. The term in the Hamiltonian which came out to be ambiguous, in the center-of-mass reference frame, is given by (see Eqs. (71) and (75) in [1]) ω G3m1m2 c p1ip1j∂1i∂1j (
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