论文标题
关于一般相对论和霍尔斯特理论的壳相等性，具有非赞成，扭转和边界
On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
论文作者
论文摘要
我们研究了Holst动作的概括，在该动作中，我们承认具有及时边界的流形（无论是公制和四方形式主义）中的多种扭曲。我们证明其解决方案的空间等于Palatini动作之一。因此，我们得出的结论是，公制部门实际上与GR相同，GR是由爱因斯坦 - 希尔伯特（Einstein-Hilbert）作用定义的。我们进一步证明，尽管定义了相同的解决方案空间，但帕拉蒂尼（Palatini）和（广义的）霍尔斯特·拉格朗（Holst Lagrangians）在同一个学上并不相等。因此，协变相空间方法提供的前透明结构和电荷可能有所不同。但是，使用相对双色框架，我们显示了这两种理论的协方差相位空间是等效的（实际上与GR相等）及其指控，阐明了有关双重电荷及其等效性的一些开放问题。
We study a generalization of the Holst action where we admit nonmetricity and torsion in manifolds with timelike boundaries (both in the metric and tetrad formalism). We prove that its space of solutions is equal to the one of the Palatini action. Therefore, we conclude that the metric sector is in fact identical to GR, which is defined by the Einstein-Hilbert action. We further prove that, despite defining the same space of solutions, the Palatini and (the generalized) Holst Lagrangians are not cohomologically equal. Thus, the presymplectic structure and charges provided by the Covariant Phase Space method might differ. However, using the relative bicomplex framework, we show the covariant phase spaces of both theories are equivalent (and in fact equivalent to GR), as well as their charges, clarifying some open problems regarding dual charges and their equivalence in different formulations.
