Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of f(T, B) where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann–Lemaître–Robertson–Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.

中文翻译：

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f（T，B）引力的宇宙弹跳解。

Teleparallel Gravity通过将Levi-Civita连接与描述扭转而不是曲率的Weitzenböck连接进行交换，从而可以在扭转方面重新构造重力。出人意料的是，对于适当的设置，可以将Teleparallel Gravity公式化为等效于广义相对论。我们的兴趣在于探索该理论的扩展，其中拉格朗日采取f（T，  B）的形式，其中T和B是两个具有广义相对论特征的标量。在这项工作中，我们探索了使用这种引力方法在平坦的Friedmann–Lemaître–Robertson–Walker几何形状中再现著名的宇宙学反弹场景的可能性。我们研究了引力拉格朗日类型，它们能够为对称，振荡，超反弹，物质反弹和奇异反弹设置重构解析解。这些新的受宇宙学启发的模型可能会对其他宇宙学尺度的引力现象产生影响。