We propose a codimension two warped braneworld model within the teleparallel f(T) gravity. Asymptotically, the bulk geometry converges to an AdS6 spacetime whose cosmological constant is produced by the torsion parameters. Furthermore, the torsion induces an AdS-dS transition on the exterior region. As the torsion parameters vary, the brane undergoes a phase transition from a thick string-like brane into ring-like structures. The bulk-brane Planck mass ration is modified by the torsion. The analysis of the stress–energy condition reveals a splitting brane process satisfying the weak and strong–energy conditions for some values of the parameters. In addition, we investigate the behavior of the gravitational perturbations in this scenario. It turns out that the gravitational spectrum has a linear behavior for small masses and is independent of the torsion parameters for large masses. In the bulk, the torsion keeps a gapless nonlocalizable and stable tower of massive modes. Inside the brane core, the torsion produces new barriers and potential wells leading to small amplitude massive modes and a massless mode localized around the ring structures.

中文翻译：

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f(T) 重力下的粗弦状膜世界

我们在远程平行内提出了一个二维扭曲的膜世界模型F(吨)重力。渐近地，体几何收敛到一种d小号6其宇宙学常数由扭转参数产生的时空。此外，扭转会在外部区域引起 AdS-dS 转变。随着扭转参数的变化，膜经历了从厚弦状膜到环状结构的相变。体积膜普朗克质量比因扭转而改变。对应力-能量条件的分析表明，对于某些参数值，裂膜过程满足弱能和强能条件。此外，我们研究了这种情况下引力扰动的行为。事实证明，引力谱对于小质量具有线性行为，并且与大质量的扭转参数无关。在整体上，扭转保持了一个无间隙、不可定域和稳定的大模态塔。