Kerr时空的光学几何
Optical Geometry of the Kerr Space-time
摘要：
我们追求的是引力透镜理论的几何方法。我们提出了一个调查的背景理论的广义相对论，包括特殊性质的史瓦西和克尔解决方案。接下来，我们概述了高斯邦纳定理的证明和它在光学几何曲面上的应用。W. Gibbons和M. C.沃纳最后，我们试图将这种几何方法推广到轴对称克尔时空，并得到赤道平面上引力偏转角的表达式。
英文摘要：
We pursue a geometrical approach to gravitational lensing theory. We present a survey of the background theory of General Relativity, including particular properties of the Schwarzschild and Kerr solutions. Next we outline a proof of the Gauss Bonnet theorem and its applications to surfaces in optical geometry, as developed by G. W. Gibbons and M. C. Werner. Finally, we attempt to extend this geometrical approach to the axially symmetric Kerr spacetime, and arrive at an expression for the gravitational deflection angle in the equatorial plane.
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