关于弯曲时空中的类光极值曲面
On light-like extremal surfaces in curved spacetimes
摘要：
本文研究弯曲时空中的类光极值曲面。有趣的是，我们发现在变量的复纯变换下，类光极值曲面可以用一个非线性测地线方程组来描述。特别地，我们详细研究了Schwarzschild时空中的类光极值曲面，并系统地导出了一些新的特解，目的是与已知结果进行比较并说明方法。
英文摘要：
In this paper, we are concerned with light-like extremal surfaces in curved spacetimes. It is interesting to find that under a diffeomorphic transformation of variables, the light-like extremal surfaces can be described by a system of nonlinear geodesic equations. Particularly, we investigate the light-like extremal surfaces in Schwarzschild spacetime in detail and some new special solutions are derived systematically with aim to comparing with the known results and illustrating the method.
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