论文标题
在有效野外理论方法中,紧凑型物体的运动,能量损失和相位演变方程中的近级旋转轨道效应
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
论文作者
论文摘要
我们计算运动方程,结合能量和能量损失紧凑型物体的二元系统的二进制能量损失,在有效野外理论(EFT)框架中的纽约后(PN)近似值中的近代领先顺序。然后,我们使用这些量来计算轨道频率和累积轨道相的演变,包括超出主要顺序的旋转轨道效应。为了获得本文介绍的结果,我们利用EFT文献中的已知成分,例如在近代领先顺序的旋转效果的电势和多极矩,并且在线性化的谐波仪表中给出,并在本地平坦的框架中进行旋转。我们还获得了由近代领先顺序的旋转轨道效应引起的质量中心框架的校正。我们证明了我们的EFT结果与使用不同形式主义在其他地方获得的结果之间的等效性。本文介绍的结果为我们提供了为引力波的理论模板构建的最终成分,包括近代到领先的旋转轨道效应,这些效应将在以后的出版物中提出。
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.