论文标题
比较等效的重力：共同特征和差异
Comparing Equivalent Gravities: common features and differences
论文作者
论文摘要
我们讨论了在公制的植入几何形状框架中，重力的等效表示，指出了这些理论逐渐消失的基本概念。特别是，我们考虑了四局和旋转连接，以描述所谓的{\ it Geartric Trinity of Gravity}。具体而言，我们考虑了基于度量张量并基于曲率$ r $的一般相对论；电触电等效的一般相对性，根据扭转$ t $制定，并依赖于四型和旋转连接；由公制张量和仿射连接构建的非金属$ Q $建立的对称触发性等效的一般相对论。总体相对性是基于度量的重力理论，而远程处理方法则作为量规理论进行配置，仪表选择不仅允许简化计算，还可以深入了解重力场的基本概念。特别是，我们指出，从触发行为的角度可以看出一般相对论的基础原则（即等效原理和一般协方差）。这些理论是动态等效的，可以在三种不同的标准下证明此特征：（1）变异方法； （2）字段方程； （3）解决方案。
We discuss equivalent representations of gravity in the framework of metric-affine geometries pointing out basic concepts from where these theories stem out. In particular, we take into account tetrads and spin connection to describe the so called {\it Geometric Trinity of Gravity}. Specifically, we consider General Relativity, constructed upon the metric tensor and based on the curvature $R$; Teleparallel Equivalent of General Relativity, formulated in terms of torsion $T$ and relying on tetrads and spin connection; Symmetric Teleparallel Equivalent of General Relativity, built up on non-metricity $Q$, constructed from metric tensor and affine connection. General Relativity is formulated as a geometric theory of gravity based on metric, whereas teleparallel approaches configure as gauge theories, where gauge choices permit not only to simplify calculations, but also to give deep insight into the basic concepts of gravitational field. In particular, we point out how foundation principles of General Relativity (i.e the Equivalence Principle and the General Covariance) can be seen from the teleparallel point of view. These theories are dynamically equivalent and this feature can be demonstrated under three different standards: (1) the variational method; (2) the field equations; (3) the solutions.
