平行拉格朗日几何与统一的场论：场方程的线性化
Telleparallel Lagrange Geometry and a Unified Field Theory: Linearization of the Field Equations
摘要：
本文是我们以前的论文的自然延续：“Teleparalline拉格朗日几何和统一的场论，类。量子重力，27（2010），045005（29pp）”\cite{WNA} .本文对\cite{WNA}中得到的场方程采用线性化方法。在线性化假设下得到了三个重要结果。首先，EAP空间的垂直基本几何对象放松了它们对位置变元$x$的依赖。其次，我们的线性化理论在Cartan型的情况下符合GFT的一阶近似。最后，得到了垂直场方程的近似解。
英文摘要：
The present paper is a natural continuation of our previous paper: "Teleparallel Lagrange geometry and a unified field theory, Class. Quantum Grav., 27 (2010), 045005 (29pp)" \cite{WNA}. In this paper, we apply a linearization scheme on the field equations obtained in \cite{WNA}. Three important results under the linearization assumption are accomplished. First, the vertical fundamental geometric objects of the EAP-space loose their dependence on the positional argument $x$. Secondly, our linearized theory in the Cartan-type case coincides with the GFT in the first order of approximation. Finally, an approximate solution of the vertical field equations is obtained.
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