与TEGR相关的内部空间的运动学
Kinematics of the internal space associated with the TEGR
摘要：
在广义相对论的遥平行等价（Telepallel Equivalent of General Relativity，简称TEGR）中，通过第二类规范变换，我们得到了最基本的规范变换，即第一类规范变换。我们表明，考虑到分解的可能性的分量的四倍场作为一个平凡的部分加上一些潜在的除了通常的平移和洛伦兹势，也有可能的内部空间的对称群是一个推广的庞加莱群。还是在分析内部空间的变换时，我们看到，对于四元组场分量的分解只包括一个平凡部分加上一个平移势的情况，我们能够只恢复平移群。此外，引力的内部空间必须是物理空间--在局部尺度上--这样，规范对称性群就是物理空间本身的运动学群。这个群被得到，并且似乎推广了庞加莱群。
英文摘要：
In the context of Teleparallel Equivalent of General Relativity - TEGR - we have obtained, through the second kind gauge transformations, the most fundamental transformations, namely, the first kind ones. We show that considering the possibility of decomposing the components of the tetrad field as a trivial part plus some potential besides the usual translational and Lorentz potentials, there is also the possibility that the symmetry group of internal space be a generalization of the Poincaré group. Still in the analysis of transformations in the internal space, we saw that for the case in which the decomposition of the tetrad field components includes only a trivial part plus a translational potential, we are able to recover just the translational group. Moreover, the internal space of gravity must be the very physical space - on a local scale - in such a way that the gauge symmetry group is the kinematical group of the physical space itself. This group was obtained, and seems to generalize the Poincaré group.
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