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arXiv 2009.05628gr-qchep-th
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用有效场论方法研究致密体双星运动、能量损失和相位演化方程中的次首阶自旋轨道效应

Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach

Brian A. Pardo, Natália T. Maia

摘要:

在有效场论(EFT)框架下,在后牛顿(PN)近似下,计算了紧物体二进制系统的运动方程、结合能和能量损失中的自旋轨道效应.然后,我们使用这些量来计算的轨道频率和累积的轨道相位的演变,包括自旋轨道效应超出了主导秩序。为了得到本文中提出的结果,我们利用已知的成分在EFT文献中,如潜在的和多极矩的自旋效应在次领先的顺序,并给出了在线性化的谐波规范和自旋在局部平坦的框架。我们还得到了次领先阶自旋轨道效应对质心系的修正。我们证明了我们的EFT结果和那些在其他地方使用不同的形式主义。本文中提出的结果为我们提供了最终成分的引力波,包括次领先阶自旋轨道效应,这将在未来的出版物的理论模板的建设。

英文摘要:

We compute spin-orbit effects in the equations of motion, binding energy and energy loss of binary systems of compact objects at the next-to-leading order in the post-Newtonian (PN) approximation in the effective field theory (EFT) framework. We then use these quantities to compute the evolution of the orbital frequency and accumulated orbital phase including spin-orbit effects beyond the dominant order. To obtain the results presented in this paper, we make use of known ingredients in the EFT literature, such as the potential and the multipole moments with spin effects at next-to-leading order, and which are given in the linearized harmonic gauge and with the spins in the locally flat frame. We also obtain the correction to the center-of-mass frame caused by spin-orbit effects at next-to-leading order. We demonstrate the equivalence between our EFT results and those which were obtained elsewhere using different formalisms. The results presented in this paper provide us with the final ingredients for the construction of theoretical templates for gravitational waves including next-to-leading order spin-orbit effects, which will be presented in a future publication.

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