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THE PRINCIPLE OF LEAST ACTION IN COVARIANT THEORY OF GRAVITATION

机译:引力协变理论中的最小作用原理

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摘要

The integral equations for calculation of metric, equations of substance motion, as well as equations for gravitational and electromagnetic fields in covariant theory of gravitation are obtained by means of variation of action functional. In covariant form stress-energy tensor of gravitational field, strength tensor of gravitational field and 4-current of mass are determined. The meaning of the cosmological constant and its relation to the components of energy density in action functional are explained. The results obtained prove the validity of Mach's principle, assuming that gravitation effects are due to the flows of gravitons. The idea that metric can be entirely determined by variables describing fields' properties is substantiated.
机译:通过作用函数的变化,获得了度量的积分方程,物质运动方程以及引力协变理论中的重力场和电磁场方程。以协变形式确定重力场的应力-能量张量,重力场的强度张量和质量的4-电流。解释了宇宙常数的含义及其与作用函数中能量密度的组成的关系。假设万有引力效应是由引力子的流动引起的,则所得结果证明了马赫原理的有效性。度量可以完全由描述字段属性的变量确定的想法得到证实。

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