论文标题
1+1+2在时空中光传播的协变
1+1+2 covariant formulation of light propagation in spacetime
论文作者
论文摘要
我们提出了一种在时空中光束传播问题的协方差方法。我们在总体相对论的经典几何光学框架内开发了考虑因素。利用屏幕表面正交的概念与观察者速度和大地测量学的束，我们引入了Sachs和Jacobi光场的协变四维定义以及面积距离。然后，我们给出它们之间的关系，并得出它们的传播方程以及这些方程的初始条件。最终，为了实际使用，我们将所得公式转换为与红移相关的形式。
We present a covariant approach to the problem of light beam propagation in a spacetime. We develop our considerations within the framework of classical geometric optics in general relativity. Using the concept of a screen surface orthogonal to the observer velocity and to the bundle of geodesics, we introduce covariant four-dimensional definitions for Sachs and Jacobi optical fields and for the area distance. Then we give relationships between them and derive their propagation equations together with initial conditions for these equations. Ultimately, for practical use, we transform the resulting formulas into the redshift-dependent form.
