AI 中文总结
该研究探究弱引力波时空中自旋测试粒子的世界线偏差，推导含MPD力的修正偏差方程，分析自旋-曲率耦合对偏差的作用，探讨自旋对引力波信号及记忆效应的影响，研究该自旋效应的可测量性。
AI 中文摘要
在本研究中，我们探究弱引力波（GW）时空内自旋测试粒子的世界线偏差。在极偶极近似与Tulczyjew自旋补充条件下，我们考虑修正后的偏差方程，其包含标准测地线偏差项与Mathisson-Papapetrou-Dixon（MPD）力产生的额外贡献。我们演示如何在可行近似下求解该偏差方程，以得到偏差矢量变化的新表达式，该表达式涉及扰动h_ij、其时间导数、自旋矢量分量及偏差的纵向与横向分量。研究表明，自旋-曲率耦合在控制偏差变化中起关键作用。随后，我们利用该结果探究存在自旋时，净GW信号的形式与表达式变化，以及对GW记忆的理解。最后，我们探讨该自旋诱导效应相对于当前GW观测的可测量性。
英文摘要
In this work, we investigate the worldline deviation of spinning test particles in a weak gravitational wave (GW) spacetime. Within the pole-dipole approximation and the Tulczyjew spin supplementary condition, we consider the modified deviation equation, which contains the standard geodesic deviation term and an additional contribution generated by the Mathisson-Papapetrou-Dixon (MPD) force. We demonstrate how the deviation equation can be solved under viable approximations to yield a new expression for the change in the deviation vector in terms of the perturbation $h_{ij}$, its time derivative, the spin vector components and the longitudinal and transverse components of the deviation. The spin-curvature coupling is shown to play a crucial role in controlling the change in deviation. We then use this result to investigate the changes in the form and expressions of the net GW signal as well as our understanding of GW memory, in the presence of spin. We conclude with our attempts on the measurability of this spin-induced effect \emph{vis-a-vis} present GW observations.
Comments34 pages, 2 figures, 1 table
