TY - JOUR

T1 - New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity

AU - Itoh, Yousuke

AU - Futamase, Toshifumi

PY - 2003

Y1 - 2003

N2 - A third post-Newtonian (3PN) equation of motion for an inspiraling binary, consisting of two spherical compact stars with strong internal gravity is derived under the harmonic coordinate condition using the strong field point particle limit. The equation of motion is complete in the sense that it is Lorentz invariant in the post-Newtonian perturbative sense, admits the conserved energy of the orbital motion, and is unambiguous, that is, with no undetermined coefficient. In this paper, we show explicit expressions of the 3PN equation of motion and an energy of the binary orbital motion in the case of a circular orbit (neglecting the 2.SPN radiation reaction effect) and in the center of mass frame. It is argued that the 3PN equation of motion we obtained is physically unambiguous. Full details will be reported elsewhere.

AB - A third post-Newtonian (3PN) equation of motion for an inspiraling binary, consisting of two spherical compact stars with strong internal gravity is derived under the harmonic coordinate condition using the strong field point particle limit. The equation of motion is complete in the sense that it is Lorentz invariant in the post-Newtonian perturbative sense, admits the conserved energy of the orbital motion, and is unambiguous, that is, with no undetermined coefficient. In this paper, we show explicit expressions of the 3PN equation of motion and an energy of the binary orbital motion in the case of a circular orbit (neglecting the 2.SPN radiation reaction effect) and in the center of mass frame. It is argued that the 3PN equation of motion we obtained is physically unambiguous. Full details will be reported elsewhere.

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U2 - 10.1103/PhysRevD.68.121501

DO - 10.1103/PhysRevD.68.121501

M3 - Article

AN - SCOPUS:0842347672

VL - 68

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

M1 - 121501

ER -