摘要
有最大的对称的横向的空格的静态的空间时间的一个完全的分类被提供，根据他们的 Ricci 关口线条。当 Ricci 关口线条向量地 V 的一个部件是非零时，分类被做(盒子 1 ～ 4 ) ， V 的二个部件是非零(盒子 5 ～ 10 ) ，并且 V 的三个部件是非零(盒子 11 ～ 14 ) respectivily。两非退化(detR_(ab ) ≠ 0 ) 象一样退化(detR_(ab )= 0 ) 盒子被讨论，一些新度量标准被发现。
A complete classification of static space times with maximal symmetric transverse spaces is provided, according to their Ricci collineations. The classification is made when one component of Ricci collineation vector field V is non-zero （cases 1 - 4）, two components of V are non-zero （cases 5 - 10）, and three components of V are non-zero （cases 11 - 14）, respectlvily. Both non-degenerate （detRab ≠ 0） as well as the degenerate （det Rab = 0） cases are discussed and some new metrics are found.
基金
The project supported by National Natural Science Foundation of China under Grant Nos. 10325525 and 90403029, and Ministry of Science and Technology of China under Grant No. TG1999075401
