论文标题
远程引力
Teleparallel gravity
论文作者
论文摘要
总体而言,描述物质重力相互作用的唯一动态场是度量标准。它诱导时空的因果结构,通过其Levi-Civita连接来控制身体的运动,并通过这种连接的曲率介导重力。尽管许多修改的重力理论保留了这些原则,但也有可能引入另一种仿射连接作为基本领域,并将其特性(曲率,扭转,非金属性)视为重力介体。在最一般的情况下,这引起了公制的重力理论类别,同时限制了与公制的连接,而非公称消失了,构成了PoincaréGauge理论的类别。另外,也可以考虑与消失曲率的连接。该假设产生了电触电理论的类别。本章简化了对触发性重力的简化介绍,重点是执行实际计算,并概述了最常见的触发性重力理论类别。
In general relativity, the only dynamical field describing the gravitational interaction of matter, is the metric. It induces the causal structure of spacetime, governs the motion of physical bodies through its Levi-Civita connection, and mediates gravity via the curvature of this connection. While numerous modified theories of gravity retain these principles, it is also possible to introduce another affine connection as a fundamental field, and consider its properties - curvature, torsion, nonmetricity - as the mediators of gravity. In the most general case, this gives rise to the class of metric-affine gravity theories, while restricting to metric-compatible connections, for which nonmetricity vanishes, comprises the class of Poincaré gauge theories. Alternatively, one may also consider connections with vanishing curvature. This assumption yields the class of teleparallel gravity theories. This chapter gives a simplified introduction to teleparallel gravity, with a focus on performing practical calculations, as well as an overview of the most commonly studied classes of teleparallel gravity theories.