真空Einstein方程所容许的群及方程的局部不变解

数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 35-43.

真空Einstein方程所容许的群及方程的局部不变解

朱庆国

盐城工学院基础部盐城 224003

收稿日期:1996-05-31 修回日期:1997-02-17 出版日期:1998-12-26 发布日期:1998-12-26

The Concept of Group and Local Invariant Solution of Vacuum Einstein Equation

Zhu Qingguo

Inpartment of Basic Science, Yancheng Institute of technology, Yancheng 224003

Received:1996-05-31 Revised:1997-02-17 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要： 该文提出李变换群延拓群的概念,并运用纤维丛方法解决了延拓群算子中的系数问题.在此基础上,作者着重求出了真空Einstein方程所容许的群,同时还提出求方程局部不变解的一种可能方案.

关键词: 延拓群, 纤维丛, 真空Einstein方程, 容许的群, 局部不变解

Abstract: In the article, the author advances the concept of grolongation group of Lie transfor-mation group in a visual and pithy way,and resolve the coefficient problem of prolongation op-erator by using the method of fibre bundle,namely Lemma 1.1,Lemma 1.2 and Lamma 1.4.

Key words: Prolongation group, fibre bundle, vacuum Einstein equation, concept of group, local invariant solution

朱庆国. 真空Einstein方程所容许的群及方程的局部不变解[J]. 数学物理学报, 1998, 18(S1): 35-43.

Zhu Qingguo. The Concept of Group and Local Invariant Solution of Vacuum Einstein Equation[J]. Acta mathematica scientia,Series A, 1998, 18(S1): 35-43.