Einstein旋转圆盘几何性质的研究

Research Geometric Properties of Einstein's Rotating Disc in Relativity Effects

基于Einstein旋转圆盘的性质,在狭义相对论时空结构内研究了圆盘的周长、速度等几何性质.得到:(1)Ein-stein旋转圆盘周长的上限为2πc/w,盘上质点运动速率的上限为c,在狭义相对论效应内的超光速不会出现.(2)旋转圆盘由于时空弯曲,其几何形状为球冠.(3)旋转圆盘的几何形状及空间距离,在GR中与SR下所得到的结论一致.

Based on the nature of the Einstein rotating disc, the paper studies the disc perimeter, speed and geometric proper- ties within the special theory of relativity space-time structure. The result is ： （ 1 ） The maximum circumference of Einstein＇ s rotary disc is 2πc/w, the upper limit of the particle motion on the disc is C, and the superluminal does not appear within the special rela- tivity effect. （2） Due to curved space-time of the rotating disk, geometry of the rotating disk is the spherical cap and the radius of the spherical cap is R//1 ＋ （wR/c）2. （3） The stable rotation of the shape of the object and the spatial distance can be solved in the special theory of relativity range, but also is the same results in general relativity.