Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
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DOI：
10.1103/physrevd.83.044008
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发表时间：
2010-11
影响因子：
5
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
我们推导出任意多个致密物体的后牛顿次高阶保守自旋轨道和自旋(a)-自旋(b)引力相互作用哈密顿量。自旋轨道哈密顿量完善了哈密顿量的知识，直至并包括 2.5 后牛顿量，用于解决一般相对论三体问题。新的哈密顿量包括非常重要的三体相互作用，与仅由二体相互作用组成的主导顺序相反。这对于研究黑洞与双黑洞合并中的 Kozai 共振等效应可能很重要。通过两种独立的方法进行推导，得出完全一致的结果。
We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b) gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian completes the knowledge of Hamiltonians up to and including 2.5 post Newtonian for the general relativistic three-body problem. The new Hamiltonians include highly nontrivial three-body interactions, in contrast to the leading order consisting of two-body interactions only. This may be important for the study of effects like Kozai resonances in mergers of black holes with binary black holes. The derivation was done via two independent methods giving fully consistent results.