Next‐to‐next‐to‐leading order post‐Newtonian linear‐in‐spin binary Hamiltonians
Next‐to‐next‐to‐leading order post‐Newtonian linear‐in‐spin binary Hamiltonians
复制标题
DOI：
10.1002/andp.201200271
复制
发表时间：
2013-02
影响因子：
2.4
通讯作者：
J. Hartung;J. Steinhoff;G. Schäfer
中科院分区：
文献类型：
--
作者：
J. Hartung;J. Steinhoff;G. Schäfer
导出了广义相对论中紧二元体的次次首阶后牛顿自旋轨道和自旋（1）-自旋（2）哈密顿量.给出了广义相对论中的Arnowitt‐Deser‐Misner正则形式及其对自旋致密体的推广，得到了完全约化的纯物质哈密顿量.几个简化使用积分的部分进行了讨论。近似解的约束和运动的演化方程。给出了积分过程的技术细节，包括对源周围被积函数的短程行为的分析。用相当简单的方法得到了在定态Kerr时空中运动的测试自旋的哈密顿量，并用来检验部分结果。使用全局（后牛顿近似）庞加莱代数进行运动学一致性检查。沿着的方式，一个自包含的概述计算的3 PN ADM点质量哈密顿量也提供了。
The next‐to‐next‐to‐leading order post‐Newtonian spin‐orbit and spin(1)‐spin(2) Hamiltonians for binary compact objects in general relativity are derived. The Arnowitt‐Deser‐Misner canonical formalism and its generalization to spinning compact objects in general relativity are presented and a fully reduced matter‐only Hamiltonian is obtained. Several simplifications using integrations by parts are discussed. Approximate solutions to the constraints and evolution equations of motion are provided. Technical details of the integration procedures are given including an analysis of the short‐range behavior of the integrands around the sources. The Hamiltonian of a test‐spin moving in a stationary Kerr spacetime is obtained by rather simple approach and used to check parts of the mentioned results. Kinematical consistency checks by using the global (post‐Newtonian approximate) Poincaré algebra are applied. Along the way a self‐contained overview for the computation of the 3PN ADM point‐mass Hamiltonian is provided, too.