从欧拉方程到爱因斯坦引力场方程(英文)

From Euler equation to Einstein gravitational field equation

在以往的广义相对论文献中,爱因斯坦引力场方程都只是用变分法推导出来的.本文用另一种方法从欧拉方程导出了爱因斯坦引力场方程.推导过程中得到的公式表明,为了把引力场正则量子化,给引力场方程引入一个标量函数作为宇宙因子是必要的.

In the past literatures on general relativity,Einstein gravitational field equation is derived only by the variation method,and this article has derived Einstein gravitational field equation from Euler kinematical equation by another method.The equation obtained in the derivative process shows that,it is necessary to introduce a scalar function as the cosmological factor into the gravitational equation in order to quantize canonically the gravitational filed.