论文标题
ADM重力能量摩托车的概括
The generalization of the ADM gravitational energy-momentum
论文作者
论文摘要
在本文中，事实证明，电触电能量摩托车概括了ADM形式主义的能量。在此过程中，只要适用ADM $ 4 $ -MOMENTUM，就可以使电触电$ 4 $ -MOMENTUM与ADM方法相吻合。唯一的假设是远程框架的时号以及用于计算ADM $ 4 $ -Momentum的坐标系的众所周知限制。然后，ADM形式主义未能给出的示例构成结果，但是触电的方法没有给出。远程应力 - 能量张量（密度）比Landau-Lifshitz的伪张量的优点。最后，讨论了识别引力角动量密度的困难。结果表明，当触电帧满足时规条件时，提出的角动量密度$ m^{ab} $的空间部分消失了。
In this paper, it is proved that the teleparallel energy-momentum generalizes that of the ADM formalism. In doing so, it is shown that the teleparallel $4$-momentum can be made to coincide with that of the ADM approach whenever the ADM $4$-momentum is applicable. The only assumptions are the time gauge for the teleparallel frame and the well-known restrictions for the coordinate system used in the calculation of the ADM $4$-momentum. Then, examples where the ADM formalism fails to give consist results, but the teleparallel approach does not, are given. The advantages of the teleparallel stress-energy tensor (density) over the pseudo-tensor of Landau-Lifshitz are exhibited. Finally, the difficulties in identifying the gravitational angular momentum density is discussed; it is shown that the spatial part of the proposed angular momentum density $M^{ab}$ vanishes when the teleparallel frame satisfies the time gauge condition.
