arXiv 1202.52552012-02hep-thgr-qchep-ph

畴壁膜宇宙学的Slinky演化

Slinky evolution of domain wall brane cosmology

Avihay Kadosh, Aharon Davidson, Elisabetta Pallante

备注：: 24 pages, 4 figures, extended discussion of slinky evolution, minor revisions, conclusions unchanged
发表信息：: Phys. Rev. D 86, 124015 (2012)
DOI：: 10.1103/PhysRevD.86.124015

摘要：

在假定时间$ t $和额外空间维$ y $之间存在初始对称性的基础上，讨论了一种新的情形，即4维膜的动力学形成和宇宙学演化是由一种共同的$ t<->y $对称性破缺机制同时诱导的.底层标量势的局部最大值被映射到$ (t,y) $平面中的“分水岭”曲线上;与该曲线相切的方向被确定为宇宙时间，而垂直方向则被局部地用作额外的空间维度。特别注意的是所谓的苗条的配置，其膜宇宙学的特点是一个衰减的宇宙学常数沿分水岭曲线。首先在分水岭受$ y = 0 $约束的简化情况下构建这种灵活的解决方案。一个苗条的配置，以产生一个现实的宇宙学演化模型的物理要求，然后在一个更详细的框架进行讨论。

英文摘要：

Invoking an initial symmetry between the time $ t $ and some extra spatial dimension $ y $, we discuss a novel scenario where the dynamical formation of the 4-dim brane and its cosmological evolution are induced simultaneously by a common $ t<->y $ symmetry breaking mechanism. The local maximum of the underlying scalar potential is mapped onto a 'watershed' curve in the $ (t,y) $ plane; the direction tangent to this curve is identified as the cosmic time, whereas the perpendicular direction serves locally as the extra spatial dimension. Special attention is devoted to the so-called slinky configurations, whose brane cosmology is characterized by a decaying cosmological constant along the watershed curve. Such a slinky solution is first constructed within a simplified case where the watershed is constrained by $ y = 0 $. The physical requirements for a slinky configuration to generate a realistic model of cosmological evolution are then discussed in a more elaborated framework.

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