任意变速参考系中K-G方程的解析解

The Strict Solutions to the K-G Equation Under an Arbitraty Time-varied Reference System

:1 98 7年 ,唐智明通过严格求解 Einstein场方程得到一个任意变速参考系的度规 .1 991年 ,作者采用该度规导出了相应的 K-G方程 ,进行了分离变量 ,讨论了匀加速参考中 K-G方程的解 .采用微分方程理论中求特征线的方法成功地将 K-G方程化成标准的 Laplace双曲型方程 ,并求出了方程的解析解 .

By solving Einstein field equation,Tang Zhiming obtained a metric under an arbitrary time varied reference System in 1978.Based on this metrie,Wu Shuci derived the corresponding K G equation and obtained the solutions with a(t )=constant in 1991.In this paper,we turn the K G equation into standard Laplace hyperbolic equation by means of solving characteristic line and have obtained the strict solutions.It is estimated that the results we have found can be used to some gravitational effects of a scale particle with null spin under an arbitrary time varied reference system.