We have investigated effect of geometric optics as the rotation of polarization vector of light in spacetime of gravitational compact object in the fourth-order theory of conformal Weyl gravity. The Pineault–Roeder method is applied to the rotating Weyl metric, and analytical results are obtained in the limit of weak field and or slow rotation. For the photon traveling parallel to the symmetry axes from the equatorial plane to infinity, the rotation of the polarization plane depends on the Weyl parameter \(\gamma \) on the contrary to the Kerr spacetime where there is no rotation of polarization plane for this case.

中文翻译：

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几何光学在共形Weyl重力中的作用

在共形Weyl引力四阶理论中，我们研究了几何光学作为引力紧凑对象时空中光偏振矢量旋转的影响。Pineault-Roeder方法应用于旋转的Weyl度量，并且在弱磁场和/或慢速旋转的极限下获得了分析结果。对于平行于对称轴从赤道平面到无穷远传播的光子，偏振面的旋转取决于Weyl参数\（\ gamma \），这与Kerr时空相反，在Kerr时空中，偏振面没有旋转案件。