Equations of motion of compact binaries at the third post-Newtonian order

Pramana

Luc Blanchet1¹ 

[1] Institut d'Astrophysique de Paris (CNRS), Gravitation Relativiste et Cosmologie (GRð?œ–CO), 98 bis, boulevard Arago, 75014 Paris, France$$

关键词: Gravitational radiation;    equations of motion;    compact binaries;    post-Newtonian.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The equations of motion of two point masses in harmonic coordinates are derived through the third post-Newtonian (3PN) approximation. The problem of self-field regularization (necessary for removing the divergent self-field of point particles) is dealt with in two separate steps. In the first step the extended Hadamard regularization is applied, resulting in equations of motion which are complete at the 3PN order, except for the occurrence of one and only one unknown parameter. In the second step the dimensional regularization (in 𝑑 dimensions) is used as a powerful argument for fixing the value of this parameter, thereby completing the 3-dimensional Hadamard-regularization result. The complete equations of motion and associated energy at the 3PN order are given in the case of circular orbits.

【 授权许可】

Unknown