对称平行引力理论中自平行线的一种新方法
A novel approach to autoparallels for the theories of symmetric teleparallel gravity
摘要：
在非度量性、挠率和曲率中只有曲率不为零的黎曼几何中，自平行曲线与测地线重合，但在非黎曼几何中，它们定义了不同的曲线。本文给出了用重合规范描述的对称远平行引力理论的自平行曲线和测地线的一种新方法。然后，我们应用我们的自平行方程到Schwarzschild型度规，并给出有关暗物质和轨道方程的评论。
英文摘要：
Although the autoparallel curves and the geodesics coincide in the Riemannian geometry in which only the curvature is nonzero among the nonmetricity, the torsion and the curvature, they define different curves in the non-Riemannian ones. We give a novel approach to autoparallel curves and geodesics for theories of the symmetric teleparallel gravity written in the coincident gauge. Then we apply our autoparallel equation to a Schwarzschild-type metric and give remarks about dark matter and orbit equation.
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