arXiv 0712.03852007-12hep-thastro-phgr-qc

相交膜世界上的诱导引力第一部分：极大对称解

Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions

Olindo Corradini, Kazuya Koyama, Gianmassimo Tasinato

备注：: 16 pages, some mistakes in the identification of the higher codimensional singular structure corrected. Main results unchanged
发表信息：: Phys.Rev.D77:084006,2008
DOI：: 10.1103/PhysRevD.77.084006

摘要：

我们探讨模型的相交膜世界与诱导引力的余维1膜和他们的交集。找到了膜和交的最大对称解，并找到了新的自加速解。在6d时空中，解实现了重力的跷跷板修正，其中修正到4d重力的UV标度由$M_6 \sim 10^{-3}$ eV给出的6d普朗克标度确定，并且修正的IR标度由$M_6^2/M_4 \sim H_0 \sim 10^{-42}$ GeV确定，其中$H_0$是现在的哈勃标度。我们发现，它是越来越难以构建唯象可行的模型，在高维时空由于必须有较低的基本普朗克尺度值，以实现后期的时间加速。据发现，该系统也承认自调整的解决方案，在交叉点的张力不改变交叉点的几何形状。诱导引力项可以避免额外维的紧致化。最后，我们讨论的可能性，有普通的物质在交叉点，而不引入任何正规化，使用诱导引力项。

英文摘要：

We explore models of intersecting brane-worlds with induced gravity terms on codimension one branes and on their intersection. Maximally symmetric solutions for the branes and the intersection are found. We find new self-accelerating solutions. In a 6d spacetime, the solutions realize the see-saw modification of gravity where the UV scale of the modification to 4d gravity is determined by 6d Planck scale given by $M_6 \sim 10^{-3}$eV and the IR scale of the modification is determined by $M_6^2/M_4 \sim H_0 \sim 10^{-42}$ GeV where $H_0$ is present-day Hubble scale. We find that it is increasingly difficult to construct phenomenologically viable models in higher-dimensional spacetime due to the necessity to have the lower value for the fundamental Planck scale to realize the late time acceleration. It is found that the system also admits self-tuning solutions where the tension at the intersection does not change the geometry of the intersection. The induced gravity terms can avoid the necessity to compactify the extra dimensions. Finally, we discuss the possibility to have ordinary matter at the intersection, without introducing any regularisation, using the induced gravity terms.

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