论文标题
Detweiler的红移不变，用于绕着Schwarzschild Black Hole的延伸物体
Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
论文作者
论文摘要
我们计算出对二极化和四极性结构（带有自旋诱导的四极力矩）的延长物体的Detweiler红移不变的一阶自力贡献。我们的分析包括旋转中二阶的效果，从而推广了纯旋转颗粒的先前结果。假定扰动体在赤道平面上移动，相关的自旋矢量与之正交。通过在辐射仪中使用标准重力自力方法获得度量扰动。我们的结果通过6.5后牛顿后阶是准确的，并显示出通过使用有效的野外理论方法从有效的野外理论方法中使用可用的哈密顿量计算出的相同数量的相应后表达式，用于旋转二进制的动力学。
We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a Schwarzschild background. Our analysis includes effects which are second order in spin, generalizing previous results for purely spinning particles. The perturbing body is assumed to move on the equatorial plane, the associated spin vector being orthogonal to it. The metric perturbations are obtained by using a standard gravitational self-force approach in a radiation gauge. Our results are accurate through the 6.5 post-Newtonian order, and are shown to reproduce the corresponding post-Newtonian expression for the same quantity computed by using the available Hamiltonian from an effective field theory approach for the dynamics of spinning binaries.
