论文标题
带有单个仿射对称性的电触电几何形状
Teleparallel Geometry with a Single Affine Symmetry
论文作者
论文摘要
在远程平行的几何形状中，对称性由仿射框架对称表示，这些对称既约束（CO）帧基础和自旋连接（这是主要的几何对象）。在本文中，我们将利用局部Lorentz协变量方法研究单一仿射对称性的电触电几何形状，并采用复杂的零量表。我们首先引入了一种使用仿射框架对称性研究几何形状的算法，该算法包括选择适合对称性的坐标，构造规范框架并求解描述对称性的方程式。旋转连接的％％（确定六个真实的洛伦兹函数。在单个仿射对称性的情况下，确定几何的所有约束，但是在给定的远程平行性理论的场方程中还会产生其他约束。在$ f（t）$ telepar Practity中，我们发现在$ f（t）$ telepar practity中，在$ f（t）$ telepar practity中会受到严重的约束。
In teleparallel geometries, symmetries are represented by affine frame symmetries which constrain both the (co)frame basis and the spin-connection (which are the primary geometric objects). In this paper we shall study teleparallel geometries with a single affine symmetry, utilizing the locally Lorentz covariant approach and adopting a complex null gauge. We first introduce an algorithm to study geometries with an affine frame symmetry, which consists of choosing coordinates adapted to the symmetry, constructing a canonical frame, and solving the equations describing the symmetry. %for the spin connection (to determine the six real Lorentz functions. All of the constraints on the geometry are determined in the case of a single affine symmetry, but there are additional constraints arising from the field equations for a given theory of teleparallel gravity. In particular, we find that in $f(T)$ teleparallel gravity there will be severe constraints on the geometry arising from the antisymmetric part of the field equations.
