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arXiv 2007.09925gr-qc
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f(T,B)引力中的宇宙弹跳解

Cosmological bouncing solutions in f(T,B) gravity

Maria Caruana, Gabriel Farrugia, Jackson Levi Said

摘要:

远平行引力提供了用挠率重新表述引力的可能性,通过将列维-奇维塔联系与描述挠率而不是曲率的魏岑博克联系交换。令人惊讶的是,在适当的设置下,平行引力可以被表述为与广义相对论等价。我们的兴趣在于探索这个理论的一个扩展,其中拉格朗日量采取$f(T,B)$的形式,其中T和B是两个标量,其特征在于与广义相对论的等价性。在这项工作中,我们探讨了利用这种引力方法在平坦的Friedmann-Lemaintre-Robertson-Walker几何中再现著名的宇宙学反弹场景的可能性。我们研究的类型的引力拉格朗日能够重建对称,振荡,超反弹,物质反弹,奇异反弹设置的解析解。这些受宇宙学启发的新模型可能会对其他宇宙学尺度的引力现象产生影响。

英文摘要:

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.

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