关于真空Einstein方程所容许的群定理

Tolerated Group Theorem for Vacuum Einstein Equation

一般情形下探求真空Einstein方程的精确局部不变解问题在数学物理中一直是人们关注的焦点。人们发现可以依据李变换群的延拓群概念,将运用纤维丛方法已经解决的延拓群算子中的系数问题作为引理,着重分析并求出真空Einstein方程所容许的群是解决上述问题的关键。

Under general conditions, inquiring into the precise local invariant solution problem of the vacuum Einstein equa- tion on mathematical physics point is a hot issue all the time. It is discovered that based on the prolongation group concept of Lie transformation group in a visual and pithy way, the resolved coefficient problem of the prolongation operator is used as a lemma by the fiber bundle method . Analyzing and obtaining the tolerated group for the vacuum Einstein equation is the key to the solution of the above problems.