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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
【摘要】 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.
【Abstract】 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.
【关键词】 欧拉方程;
爱因斯坦方程;
度规张量;
联络;
引力场正则量子;
宇宙因子;
【Key words】 euler equation; einstein equation; metric tensor; connection; canonical quantization of gravitational filed; cosmological factor;
【Key words】 euler equation; einstein equation; metric tensor; connection; canonical quantization of gravitational filed; cosmological factor;
【基金】 Supportedby“863”PrejectFoundation(2005AA123730)
- 【文献出处】 云南大学学报(自然科学版) ,Journal of Yunnan University (Natural Sciences) , 编辑部邮箱 ,2005年S2期
- 【分类号】O314
- 【下载频次】171