论文标题
加利利的一阶配方，用于一般相对论的非相对论扩张
Galilean first-order formulation for the non-relativistic expansion of general relativity
论文作者
论文摘要
我们在移动框架方面对帕拉蒂尼的一般相对论（GR）进行了重新制定，这些框架以大量的光膨胀表现出了当地的加利利协方差。为此，我们根据适用于$ gl（n，\ mathbb {r}）$结构组的变量来表达动作。这导致了GR的一种新颖的palatini-type公式，为一阶非偏见扩张提供了自然的起点。在此过程中，我们展示了洛伦兹和牛顿 - 卡丹公制兼容性的比较如何解释了非相关主义扩张中扭转的外观。
We reformulate the Palatini action for general relativity (GR) in terms of moving frames that exhibit local Galilean covariance in a large speed of light expansion. For this, we express the action in terms of variables that are adapted to a Galilean subgroup of the $GL(n,\mathbb{R})$ structure group of a general frame bundle. This leads to a novel Palatini-type formulation of GR that provides a natural starting point for a first-order non-relativistic expansion. In doing so, we show how a comparison of Lorentzian and Newton-Cartan metric-compatibility explains the appearance of torsion in the non-relativistic expansion.
