真空Einstein方程所容许的群及方程的局部不变解

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

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.

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.