论文标题
重力法拉第（Faraday
Gravitational Faraday rotation of gravitational waves by a Kerr black hole
论文作者
论文摘要
引力法拉第旋转（GFR）是由旋转的巨大物体引起的框架拖拉作用，这是镜头重力波（GWS）的重要但已研究的特征之一。在这项工作中，我们在弱挠度极限下计算GFR角$χ_g$，前提是它是由Kerr Black Hole（BH）镜头的。我们发现GFR效应改变了镜头GW的初始极化状态。与爱因斯坦偏转角相比，旋转角$χ_g$的主要项是对极化角度的二阶校正，这取决于BH角动量的视点成分。这样的旋转是微小的，并从初始极化角度退化。在某些关键情况下，GFR角度接近第三代GW检测器网络的检测能力，尽管退化必须损坏。
Gravitational Faraday Rotation (GFR) is a frame-dragging effect induced by rotating massive objects, which is one of the important, yet studied characteristics of lensed gravitational waves (GWs). In this work, we calculate the GFR angle $χ_g$ of GWs in the weak deflection limit, assuming it is lensed by a Kerr black hole (BH). We find that the GFR effect changes the initial polarization state of the lensed GW. Compared with the Einstein deflection angle, the dominant term of the rotation angle $χ_g$ is a second-order correction to the polarization angle, which depends on the light-of-sight component of BH angular momentum. Such a rotation is tiny and degenerates with the initial polarization angle. In some critical cases, the GFR angle is close to the detection capability of the third-generation GW detector network, although the degeneracy has to be broken.
