On the definition of distance in general relativity: I. M. H. Etherington (Philosophical Magazine ser. 7, vol. 15, 761 (1933))
On the definition of distance in general relativity: I. M. H. Etherington (Philosophical Magazine ser. 7, vol. 15, 761 (1933))
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DOI：
10.1007/s10714-006-0355-5
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发表时间：
2007-06
影响因子：
2.8
通讯作者：
G. Ellis
中科院分区：
文献类型：
--
作者：
G. Ellis
互易定理的核心是在天文观测中，当源和观测者的角色互换时，许多几何性质是不变的。在最简单的情况下，它指出，在任意静态时空中，两个相对静止的观察者，在每个观察者处相同大小的物体在另一个观察者看来具有相同的立体角。当存在相对运动时，如在宇宙学中，必须考虑红移效应，如下：设观测者区域距离r0定义为dS0= r2
The core of the reciprocity theorem is the fact that many geometric properties are invariant when the roles of source and observer in astronomical observations are transposed. In the simplest case, it states that for two observers at rest relative to each other in an arbitrary static spacetime, objects of identical size at each observer are seen by the other observer to subtend identical solid angles. When there are relative motions, as in the case of cosmology, allowance for redshift effects must be made, as follows: let the observer area distance r0 be defined by dS0= r2