论文标题
扭曲的扭曲张量，远程平行性和自旋2场方程
Distorted Torsion Tensor, Teleparallelism and Spin 2 Field Equations
论文作者
论文摘要
Okubo在建立Nijenhuis-Bianchi身份和BRST型操作员时提出了扭曲的扭转张量的概念。这些数量是在Nijenhuis张量的帮助下构建的，这又是根据（1,1）张量$ s^λ_μ$定义的。该张量进入扭曲的扭转张量的构造。我们使用此张量将远程相对性（TEGR）的电触电等效延伸到由四个场和张量$ s^λ_$定义的理论。如果$ s^λ_μ=δ^λ_μ$，将恢复普通的TEGR。我们仅根据$ s^λ_$来考虑理论的平坦时空公式，并表明该张量满足了无质量自旋2场的波方程。
A notion of distorted torsion tensor was introduced by Okubo, in the establishment of the Nijenhuis-Bianchi identity and of BRST-like operators. These quantities are constructed with the help of the Nijenhuis tensor, which in turn is defined in terms of a (1,1) tensor $S^λ_μ$. This tensor enters the construction of the distorted torsion tensor. We use this tensor to extend the teleparallel equivalent of general relativity (TEGR) into a theory defined by the tetrad fields and by the tensor $S^λ_μ$. The ordinary TEGR is recovered if $S^λ_μ=δ^λ_μ$. We consider the flat space-time formulation of the theory, in terms of $S^λ_μ$ only, and show that this tensor satisfies the wave equation for massless spin 2 fields.
