Study of field fluctuations and their localization in a thick braneworld generated by gravity nonminimally coupled to a scalar field with the Gauss-Bonnet term
Study of field fluctuations and their localization in a thick braneworld generated by gravity nonminimally coupled to a scalar field with the Gauss-Bonnet term
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DOI：
10.1103/physrevd.89.026004
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发表时间：
2013-01
影响因子：
5
通讯作者：
G. Germán;A. Herrera-Aguilar;D. Malagón-Morejón;I. Quirós;R. Rocha
中科院分区：
文献类型：
--
作者：
G. Germán;A. Herrera-Aguilar;D. Malagón-Morejón;I. Quirós;R. Rocha
在这项工作中，我们研究了一个具有扭曲的5D光滑膜世界的场景，该场景具有四维闵可夫斯基几何，该几何由非最小耦合的块标量物质与重力建立，并带有附加的高斯-博内项。我们给出了全膜世界构型的精确解，与之前的结果相反，由于相关微分方程的高度非线性特性，只能构造近似解。这些解决方案使我们能够研究四维普朗克质量有限的必要条件，此外，与近似方法相比，使我们能够对四维重力局部化进行更严格的分析。值得注意的是，所有构建的膜世界构型都导致了标准的四维引力局域化，因为它们包含局域化的无质量张量模（引力子）。我们还分析了所构造的场构型的标量、矢量和张量涨落模式的局域性。我们证明了在考虑的背景下，只有无质量张量模，即四维引力子，在膜上是局域的，而矢量和标量模不局限于膜。
In this work we study a scenario with a warped 5D smooth braneworld with 4D Minkowski geometry builded from bulk scalar matter non-minimally coupled to gravity with an additional Gauss-Bonnet term. We present exact solutions for the full braneworld configuration in contrast to previous results where only approximate solutions were constructed due to the highly non-linear character of the relevant differential equations. These solutions allow us to study the necessary conditions for the finiteness of the 4D Planck mass and additionally, enables us to perform a more rigorous analysis of 4D gravity localization compared to approximate approaches. It is remarkable that all the constructed braneworld configurations lead to standard 4D gravity localization since they contain a localized massless tensor mode (the graviton). We also analyze the localization properties of scalar, vector and tensor fluctuation modes for the constructed field configurations. We show that for the considered backgrounds, only the massless tensor mode, i.e. the 4D graviton, is localized on the brane, while the vector and scalar modes are not confined to the brane.