Einstein-Cartan引力理论中的广义协变守恒定律

本文从广义Noether定理出发,对Einstein-Cartan引力理论中一般拉氏量所对应的守恒定律作了普遍的讨论,并由广义位移交换x^μ＇=x^μ+e_d^μb^a得到了包含挠率的一般拉氏密度所对应的广义协变能量动量守恒定律,并论述了超势存在的必然性。它是文献1]和2]理论的自然推广。 关键词：

GENERAL CONVERSATION LAWS IN EINSTEIN-CARTAN THEORY

Using Noether's theorem, the conversation laws for general Lagrangian in Einstein-Cartan theory are derived. The general covariant energy-momentum conversation law for general Lagrangian including torsion is obtained from general displacement transformation x^μ＇=x^μ+e_d^μb^a. It is shown that in our general case the superpotential must be existed. This result is the natural extension of the theory in references 1] , 2].