Second post-Newtonian Lagrangian dynamics of spinning compact binaries

被引：32

作者：

Huang, Li ^{[1
,2
]}

Wu, Xin ^{[1
,2
]}

Ma, DaZhu ^{[3
]}

机构：

[1] Nanchang Univ, Dept Phys, Nanchang 330031, Peoples R China

[2] Nanchang Univ, Inst Astron, Nanchang 330031, Peoples R China

[3] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL C | 2016年 / 76卷 / 09期

基金：

中国国家自然科学基金;

关键词：

LYAPUNOV EXPONENTS; EQUIVALENCE; WAVES; CHAOS;

D O I：

10.1140/epjc/s10052-016-4339-7

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The leading-order spin-orbit coupling is included in a post-Newtonian Lagrangian formulation of spinning compact binaries, which consists of the Newtonian term, first post-Newtonian (1PN) and 2PN non-spin terms and 2PN spin-spin coupling. This leads to a 3PN spin-spin coupling occurring in the derived Hamiltonian. The spin-spin couplings are mainly responsible for chaos in the Hamiltonians. However, the 3PN spin-spin Hamiltonian is small and has different signs, compared with the 2PN spin-spin Hamiltonian equivalent to the 2PN spin-spin Lagrangian. As a result, the probability of the occurrence of chaos in the Lagrangian formulation without the spin-orbit coupling is larger than that in the Lagrangian formulation with the spin-orbit coupling. Numerical evidences support this claim.

引用

页数：10

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