论文标题
在第一阶形式主义中，重力理论的非忠实限制
Non-relativistic limit of gravity theories in the first order formalism
论文作者
论文摘要
我们考虑了一阶形式主义中四个维度的重力极限。首先，我们重新审视了爱因斯坦 - 希尔伯特作用的情况，并正式讨论真空中的一些几何结构，并在领先顺序的物质存在下。其次，我们考虑了更通用的mardones-zanelli动作及其非偏见的极限。在真空和物质存在下，场方程和一些有趣的几何形状正式获得。值得注意的是，与爱因斯坦 - 希尔伯特（Einstein-Hilbert）的极限相反，由于升压连接出现在动作和场方程中，因此该场方程的集合得到了充分的确定。发现宇宙学常数必须在领先顺序的非相关性狂欢节 - 扎内利（Zanelli）作用中消失。还讨论了牛顿绝对时间的条件。事实证明，牛顿绝对时间可以在合理条件下安全地实施。
We consider the non-relativistic limit of gravity in four dimensions in the first order formalism. First, we revisit the case of the Einstein-Hilbert action and formally discuss some geometrical configurations in vacuum and in the presence of matter at leading order. Second, we consider the more general Mardones-Zanelli action and its non-relativistic limit. The field equations and some interesting geometries, in vacuum and in the presence of matter, are formally obtained. Remarkably, in contrast to the Einstein-Hilbert limit, the set of field equations is fully determined because the boost connection appears in the action and field equations. It is found that the cosmological constant must disappear in the non-relativistic Mardones-Zanelli action at leading order. The conditions for Newtonian absolute time be acceptable are also discussed. It turns out that Newtonian absolute time can be safely implemented with reasonable conditions.
