Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation
Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation
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DOI：
10.1103/physrevd.93.084037
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发表时间：
2016-04-20
影响因子：
5
通讯作者：
Marsat, Sylvain
中科院分区：
文献类型：
--
作者：
Bernard, Laura;Blanchet, Luc;Marsat, Sylvain
在广义相对论的第四次后牛顿近似（4PN）的调和坐标下，导出了控制无自旋紧二元系统运动的福克作用。维度正则化用于处理与点粒子相关的局部紫外线（UV）发散，然后将极点重整为点质量轨迹的重新定义。与波尾在无穷远处传播有关的4PN阶效应一致地包括在作用的水平上。基于解析延拓的有限部分法处理了空间无穷远处的红外散度，这与近区尾的存在是完全一致的。我们在4PN阶的最终结果是洛伦兹不变的，并且对于圆轨道的能量有正确的自力极限。然而，我们发现它与最近发表的在广义相对论的ADM哈密顿公式中得出的结果不同[T]。Damour， P. Jaranowski和G. Schafer，物理学家。Rev. D 89, 064058(2014)]。需要做更多的工作来理解这种差异。
The Fokker action governing the motion of compact binary systems without spins is derived in harmonic coordinates at the fourth post-Newtonian approximation (4PN) of general relativity. Dimensional regularization is used for treating the local ultraviolet (UV) divergences associated with point particles, followed by a renormalization of the poles into a redefinition of the trajectories of the point masses. Effects at the 4PN order associated with wave tails propagating at infinity are included consistently at the level of the action. A finite part procedure based on analytic continuation deals with the infrared (IR) divergencies at spatial infinity, which are shown to be fully consistent with the presence of near-zone tails. Our end result at 4PN order is Lorentz invariant and has the correct self-force limit for the energy of circular orbits. However, we find that it differs from the recently published result derived within the ADM Hamiltonian formulation of general relativity [T. Damour, P. Jaranowski, and G. Schafer, Phys. Rev. D 89, 064058 (2014)]. More work is needed to understand this discrepancy.