Canonical formulation of spin in general relativity
Canonical formulation of spin in general relativity
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DOI：
10.1002/andp.201000178
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发表时间：
2011-04
影响因子：
2.4
通讯作者：
J. Steinhoff
中科院分区：
文献类型：
--
作者：
J. Steinhoff
本文的目的是将Arnowitt， Deser和Misner的标准形式从自引力点质量扩展到具有自旋的物体。这将允许有趣的应用，例如，在后牛顿（PN）近似中。在不受任何进一步逼近限制的情况下，通过对物体单自旋线性有序的作用方法成功地进行了推广。在PN近似内的逐级构造是可能的，并且可以对正式的3.5PN阶进行验证。原则上，这两种方法都适用于高阶自旋。研究了PN的次至上阶自旋(1)-自旋(1)能级，用单一参数模拟了自旋诱导的四极变形。计算了3PN及以上的快速旋转物体的所有自旋相关哈密顿量。
The present article aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self‐gravitating point‐masses to objects with spin. This would allow interesting applications, e.g., within the post‐Newtonian (PN) approximation. The extension succeeded via an action approach to linear order in the single spins of the objects without restriction to any further approximation. An order‐by‐order construction within the PN approximation is possible and performed to the formal 3.5PN order as a verification. In principle both approaches are applicable to higher orders in spin. The PN next‐to‐leading order spin(1)‐spin(1) level was tackled, modeling the spin‐induced quadrupole deformation by a single parameter. All spin‐dependent Hamiltonians for rapidly rotating bodies up to and including 3PN are calculated.