论文标题
一般相对论的Palatini公式中的保守电流
Conserved currents in the Palatini formulation of general relativity
论文作者
论文摘要
我们在palatini公式的一般相对论中得出了局部，壳封闭的封闭式限量2形式的表达式，并明确显示它们与度量公式的壳相等性。与其他一阶公式相比，必须在构造过程中解决两个细微之处：脱壳非金属以及在无穷小差异下连接的转化涉及相关矢量场的二阶衍生物。
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to those of the metric formulation. When compared to other first order formulations, two subtleties have to be addressed during the construction: off-shell non-metricity and the fact that the transformation of the connection under infinitesimal diffeomorphisms involves second order derivatives of the associated vector fields.
