发表机构
University of Vienna（维也纳大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在广义相对论框架下，针对D型黑洞时空，解析求解了引力自旋霍尔方程至波长一阶，并推导出含极化修正的黑洞阴影形状表达式。
AI 中文摘要
在广义相对论中，几何光学近似描述了高频电磁波沿零测地线的传播。超越这一近似，局域波包会获得依赖于频率和极化的对零测地线运动的修正，这由引力自旋霍尔方程描述。本文在波长的一阶修正下，对一大类D型黑洞时空解析地积分了这些方程，前提是相应的零测地线具有解析解。同一框架还给出了具有极化依赖修正的黑洞阴影形状的解析表达式。
英文摘要
In general relativity, the geometric optics approximation describes the propagation of high-frequency electromagnetic waves along null geodesics. Beyond this approximation, localized wave packets acquire frequency- and polarization-dependent corrections to null geodesic motion, described by the gravitational spin Hall equations. In this paper, these equations are integrated analytically, to first order in wavelength, in a large class of type D black hole spacetimes, whenever the corresponding null geodesics admit analytic solutions. The same framework yields analytic expressions for the shape of black hole shadows with polarization-dependent corrections.
