Hodge Dual用于焊接束
Hodge Dual for Soldered Bundles
摘要：
为了说明所有可能的收缩允许存在的焊料形式，广义霍奇对偶的情况下，焊接束定义。虽然曲率的广义对偶符合通常的，扭转它给出了一个全新的对偶定义。从平移群的规范拉格朗日量的标准形式出发，广义霍奇对偶精确地产生了广义相对论的远程平行等价物的拉格朗日量，从而也产生了广义相对论的爱因斯坦-希尔伯特拉格朗日量。
英文摘要：
In order to account for all possible contractions allowed by the presence of the solder form, a generalized Hodge dual is defined for the case of soldered bundles. Although for curvature the generalized dual coincides with the usual one, for torsion it gives a completely new dual definition. Starting from the standard form of a gauge lagrangian for the translation group, the generalized Hodge dual yields precisely the lagrangian of the teleparallel equivalent of general relativity, and consequently also the Einstein-Hilbert lagrangian of general relativity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
