标题： 非相对论极限的Mielke-Baekler引力理论 显示英文标题

标题： Non-relativistic limit of the Mielke-Baekler gravity theory

摘要： 在本文中，我们提出了三维时空中最为一般的非相对论Chern-Simons引力模型。我们首先通过一个收缩过程研究了Mielke-Baekler引力的非相对论极限。所得的非相对论理论包含一个源，用于以两个参数$p$和$q$表示的扭转和曲率的空间分量。然后，我们通过定义一个牛顿类似代数的牛顿版本的Mielke-Baekler引力理论来扩展我们的结果，该代数是从增强和扩大的相对论代数的非相对论极限得到的。值得注意的是，在这两种情况下，通过固定$\left(p,q\right)$参数，可以导出不同的已知非相对论和牛顿引力理论。特别是，当$q=0$时，得到了无扭转的模型。 显示英文摘要

摘要： In this paper, we present the most general non-relativistic Chern-Simons gravity model in three spacetime dimensions. We first study the non-relativistic limit of the Mielke-Baekler gravity through a contraction process. The resulting non-relativistic theory contains a source for the spatial component of the torsion and the curvature measured in terms of two parameters, denoted by $p$ and $q$. We then extend our results by defining a Newtonian version of the Mielke-Baekler gravity theory, based on a Newtonian like algebra which is obtained from the non-relativistic limit of an enhanced and enlarged relativistic algebra. Remarkably, in both cases, different known non-relativistic and Newtonian gravity theories can be derived by fixing the $\left(p,q\right)$ parameters. In particular, torsionless models are recovered for $q=0$.