论文标题
Lorentz仪表不变变量基于扭转的理论
Lorentz gauge-invariant variables in torsion-based theories of gravity
论文作者
论文摘要
一般相对性动力学可以从不同的动作中得出 - 这些动作偏离了爱因斯坦 - 希尔伯特的作用 - 以及动态变量的不同选择。其中，远程平行的一般相对性是基于扭转的四个场的理论。最近几年建立了更一般的基于扭转的理论，目的是取代一般相对论。目前有两种制定此类理论的方法。一个包括一个自旋连接，另一个不包括。我们讨论了Lorentz仪表在此类理论中不变性的概念，并给出了一个简单但重要的证据，即两种表述在物理上都是等效的。
General relativity dynamics can be derived from different actions -- which depart from the Einstein-Hilbert action in boundary terms -- and for different choices of the dynamical variables. Among them, the teleparallel equivalent of general relativity is a torsion-based theory for the tetrad field. More general torsion-based theories have been built in the last years, intending to supersede general relativity. There are two current ways to formulate such theories; one includes a spin-connection and the other does not. We discuss the notion of Lorentz gauge invariance in such theories, and give a simple but important proof that both formulations are physically equivalent.
