标题： 从动力系统中出现的零测地线的光学性质 显示英文标题

标题： Optical properties of null geodesics emerging from dynamical systems

摘要： 我们通过作为中心力系统的零测地线研究光学度规，推导出相关的Binet方程，并将其应用于具有和不具有球对称性的爱因斯坦方程的某些解。 推导出了Schwarzschild-Tangherlini (ST) 度规弱透镜近似下的偏转角一般公式。 此外，我们得到了Kerr黑洞（BH）赤道面上偏转角的新弱透镜公式。 我们还通过考虑由Tomimatsu-Sato (TS) 度规描述的引力天体来探讨光线的弯曲。 显示英文摘要

摘要： We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein's equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu-Sato (TS) metric.