遥平行性的推广与电磁场的几何化
An Extension of Teleparallelism and the Geometrization of the Electromagnetic Field
摘要：
众所周知，外尔时空和魏岑博克时空最初都被用来尝试将电磁场几何化。在这封信中，我们证明了这个场也可以被看作是Weitzenböck时空的扩展版本中的几何量。新的几何学包含了外尔时空和魏岑博克时空的特征。此外，我们得到爱因斯坦的场方程耦合到麦克斯韦能量动量张量从一个纯粹的几何行动，并使用这种新的几何处理共形不变性时，我们构建一个模型，相当于一个已知的共形不变teleparel模型的优点。
英文摘要：
As is well known, both Weyl and Weitzenböck spacetimes were initially used as attempts to geometrize the electromagnetic field. In this letter, we prove that this field can also be regarded as a geometrical quantity in an extended version of the Weitzenböck spacetime. The new geometry encompasses features of both Weyl and Weitzenböck spacetimes. In addition, we obtain Einstein's field equations coupled to the Maxwell energy-momentum tensor from a purely geometrical action and, to exemplify the advantage of using this new geometry when dealing with conformal invariance, we construct a model that is equivalent to a known conformal invariant teleparallel model.
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