论文标题
四个时空维度中的非相关性重力理论
Non-relativistic gravity theories in four spacetime dimensions
论文作者
论文摘要
在这项工作中，我们介绍了使用MacDowell-Mansouri几何公式在四个时空维度定义的非相关性重力理论。我们获得了牛顿重力动作，该动作是根据所谓的牛顿代数的牛顿 - 霍克版本的曲率构建的。我们表明，此处介绍的非相关性重力理论包含存在宇宙常数的泊松方程。此外，我们通过考虑特定的ANSATZ在给定量规场的情况下与重力的改良牛顿动力学方法（MOND）接触。我们通过考虑广义的牛顿 - 霍克代数，将结果扩展到广义的非权威主义MacDowell-Mansouri重力理论。
In this work we present a non-relativistic gravity theory defined in four spacetime dimensions using the MacDowell-Mansouri geometrical formulation. We obtain a Newtonian gravity action which is constructed from the curvature of a Newton-Hooke version of the so-called Newtonian algebra. We show that the non-relativistic gravity theory presented here contains the Poisson equation in presence of a cosmological constant. Moreover we make contact with the Modified Newtonian Dynamics (MOND) approach for gravity by considering a particular ansatz for a given gauge field. We extend our results to a generalized non-relativistic MacDowell-Mansouri gravity theory by considering a generalized Newton-Hooke algebra.
