First law of mechanics for compact binaries on eccentric orbits

被引：50
|
作者：
Le Tiec, Alexandre [1 ]
机构：
[1] Univ Paris Diderot, CNRS, Observ Paris, Lab Univers & Theories, F-92190 Meudon, France
来源：
PHYSICAL REVIEW D | 2015年 / 92卷 / 08期
关键词：
GRAVITATIONAL-RADIATION; GENERAL-RELATIVITY; BLACK-HOLES; WAVES; DYNAMICS; MOTION;
D O I：
10.1103/PhysRevD.92.084021
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Using the canonical Arnowitt-Deser-Misner Hamiltonian formalism, a "first law of mechanics" is established for binary systems of point masses moving along generic stable bound (eccentric) orbits. This relationship is checked to hold within the post-Newtonian approximation to general relativity, up to third order. Several applications are discussed, including the use of gravitational self-force results to inform post-Newtonian theory and the effective one-body model for eccentric-orbit compact binaries.
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页数：17
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