论文标题
$ f（t，b）$理论i：bianchi i宇宙中的各向异性空间
Anisotropic spacetimes in $f(T,B)$ theory I: Bianchi I Universe
论文作者
论文摘要
这是一系列研究的第一部分，以分析被称为$ f（t，b）$ - 理论的更高阶段的重力理论。这项工作试图了解$ f（t，b）$ - 理论的各向异性空间如何涉及。在这项工作中，我们回顾了对$ f（t，b）$ - 重力的先前分析，并研究了本地旋转的bianchi i背景几何形状的全球动态。我们集中在$ f \ left（t，b \右）= t+f \ left（b \ right）$理论的情况下，我们确定$ f \ left（t，b \ right）$ - 理论解决同质性问题的标准。最后，通过应用Painlevé分析来研究场方程的可集成性属性。分析解决方案通过正确的pachlevé扩展表示。
That is the first part of a series of studies on analyzing the higher-order teleparallel theory of gravity known as the $f(T, B)$-theory. This work attempts to understand how the anisotropic spacetimes are involved in the $f(T, B)$-theory. In this work, we review the previous analysis of $f(T, B)$-gravity, and we investigate the global dynamics in the case of a locally rotational Bianchi I background geometry. We focus in the case of $f\left( T,B\right) =T+F\left( B\right) $ theory and we determine the criteria where the $f\left( T,B\right) $-theory solves the homogeneity problem. Finally, the integrability properties for the field equations are investigated by applying the Painlevé analysis. The analytic solution is expressed by a right Painlevé expansion.
