广义相对论中的同时性定义

Definition of simultaneity in general theory of relativity

按照广义相对论时-空间隔的特性,同时性定义被严格地推广到广义相对论.同时性定义原是狭义相对论中的重要问题,过去一些文献将它推广到广义相对论时,忽视了广义相对论与狭义相对论在时空特性上的差别,因而在推广的过程中,出现了一些概念上或计算上的混乱和错误,影响了对广义相对论的正确理解.通过严格的论证,指出了这些混乱和错误,并予以了改正.

According to the specific features of interval of space-time in general theory of relativity,the definition of simultaneity is strictly be extended to general theory of relativity. The definition of simultaneity is originally an important question in special theory of relativity, in some of the literatures, when extending the definition of simultaneity to general theory of relativity, there are some conceptual confusions and calculation errors, which affects the proper understanding of general theory of relativity. Through rigorous demonstrating, these confusions and errors are shown and rectified.