论文标题
对称远程的几何形状
Symmetric Teleparallel Geometries
论文作者
论文摘要
在远程平行的重力中，尤其是在$ f（t）$远程引力中，确定适当的（共同）框架及其相应的自旋连接以描述几何形状存在挑战。通常，“正确的”框架，所有惯性效应的框架不是最简单的（例如，对角线）（co-）框架。当存在仿射对称性时，框架及其相应的自旋连接对$ f（t）$触发性重力理论引起了人们的关注。在本文中，我们介绍了coframe的一般形式及其对远程的几何形状的相应旋转连接，这些连接在$ g_6 $ g_6 $的仿射对称性下是不变的。对于这些远程Robertson Walker（TRW）几何形状，还显示了适当的Coframe和相应的$ F（T）$场方程。此外，通过添加额外的仿射对称性，可以定义远程平行的DE Sitter（TDS）几何形状。
In teleparallel gravity and, in particular, in $F(T)$ teleparallel gravity, there is a challenge in determining an appropriate (co-)frame and its corresponding spin connection to describe the geometry. Very often, the "proper" frame, the frame in which all inertial effects are absent, is not the simplest (e.g, diagonal) (co-)frame. The determination of the frame and its corresponding spin connection for $F(T)$ teleparallel gravity theories when there exist affine symmetries is of much interest. In this paper we present the general form of the coframe and its corresponding spin connection for teleparallel geometries which are invariant under a $G_6$ group of affine symmetries. The proper coframe and the corresponding $F(T)$ field equations are also shown for these Teleparallel Robertson Walker (TRW) geometries. Further, with the addition of an additional affine symmetry, it is possible to define a Teleparallel de Sitter (TdS) geometry.
