标题： 由暗物质自旋诱导的引力法拉第效应 显示英文标题

标题： Gravitational Faraday Effect induced by Dark Matter Spin

摘要： 我们证明暗物质的自旋诱导了引力对电磁法拉第效应的类似现象，在这种现象中，引力波的偏振会在穿过具有非零轴向自旋张量（超动量）的暗物质晕时发生旋转。文中给出了类似于光学中法拉第旋转的引力旋转角的表达式，并评估了其在天体物理环境中的意义。尽管根据当前的观测限制，该效应预计很小，但我们讨论了它在早期宇宙中的潜在重要性。 显示英文摘要

摘要： We show that the spin of dark matter induces a gravitational analog of the electromagnetic Faraday effect, where the polarization of gravitational waves undergoes a rotation as they propagate through a dark matter halo with a non-vanishing axial spin tensor (hypermomentum). An expression for the gravitational rotation angle is provided, which is analogous to the Faraday rotation in optics, and evaluate its significance in astrophysical settings. Although the effect is expected to be small under current observational constraints, we discuss its potential importance in the early universe.