Next‐to‐next‐to‐leading order post‐Newtonian spin‐orbit Hamiltonian for self‐gravitating binaries
Next‐to‐next‐to‐leading order post‐Newtonian spin‐orbit Hamiltonian for self‐gravitating binaries
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DOI：
10.1002/andp.201100094
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发表时间：
2011-04
影响因子：
2.4
通讯作者：
J. Hartung;J. Steinhoff
中科院分区：
文献类型：
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作者：
J. Hartung;J. Steinhoff
我们给出了两个自引力自旋致密体的次领先阶后牛顿（PN）自旋轨道哈密顿量。如果至少有一个物体在快速旋转，那么相应的相互作用强度相当于3.5PN效应。本文中的结果实际上完成了直到并包括3.5PN的二元旋转黑洞的后牛顿哈密顿量的知识。通过已知的测试自旋情况的结果和通过整体庞加莱代数来检查哈密顿量，其中质心向量由一个反式唯一确定。
We present the next‐to‐next‐to‐leading order post‐Newtonian (PN) spin‐orbit Hamiltonian for two self‐gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable in strength to a 3.5PN effect. The result in the present paper in fact completes the knowledge of the post‐Newtonian Hamiltonian for binary spinning black holes up to and including 3.5PN. The Hamiltonian is checked via known results for the test‐spin case and via the global Poincaré algebra with the center‐of‐mass vector uniquely determined by an ansatz.