论文标题
$ f(t,b)$ friedmann-lema \^ıtre-Robertson-Walker宇宙与非零空间曲率
$f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
论文作者
论文摘要
我们研究了Friedmann-Lema \^ıtre-Robertson-Walker Universe的精确溶液和渐近动力学,其在四阶修改的触摸平行的重力理论中,具有非零的空间曲率。我们表明,场方程接收了一个MinisuperSpace描述,它们可以复制任何确切形式的比例因子。此外,我们计算平衡点并分析其稳定性。我们表明,支持了米尔恩和米尔恩般的解决方案,并提供了Sitter Universe。为了完成我们的分析,我们使用庞加莱变量来研究无穷大的动态。
We investigate exact solutions and the asymptotic dynamics for the Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature in the fourth-order modified teleparallel gravitational theory known as $f\left( T, B\right) $ theory. We show that the field equations admit a minisuperspace description, and they can reproduce any exact form of the scale factor. Moreover, we calculate the equilibrium points and analyze their stability. We show that Milne and Milne-like solutions are supported, and the de Sitter universe is provided. To complete our analysis, we use Poincaré variables to investigate the dynamics at infinity.