Localization of 4D gravity on pure geometrical thick branes
Localization of 4D gravity on pure geometrical thick branes
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DOI：
10.1103/physrevd.73.084022
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发表时间：
2006-03
影响因子：
5
通讯作者：
N. Barbosa-Cendejas;A. Herrera-Aguilar
中科院分区：
文献类型：
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作者：
N. Barbosa-Cendejas;A. Herrera-Aguilar
我们考虑在纯几何Weyl可积的5D时空中厚膜组态的产生，它构成了Kaluza-Klein（KK）理论的非黎曼推广。在这个框架中，我们展示了如何4D重力可以本地化的标量厚膜，不一定尊重反射对称性，以这种方式概括了以前的几个模型的基础上的兰德尔Sundrum（RS）系统和避免这两个，限制orbifold几何形状和引进的膜在行动中的手。我们首先得到一个厚膜的解决方案，保留4D庞加莱不变性和打破Z{子2}-对称沿着额外的维度，事实上，可以是紧凑的或扩展，并补充膜解决方案以前发现的其他作者。在非紧的情况下，这个场的组态代表一个以y=c{sub 2}为中心的具有正能量密度的厚膜，而在紧的情况下则出现成对的厚膜。值得注意的是，韦利标量曲率是非奇异的沿着第五维的非紧的情况下，在对位的RS薄膜系统。我们还将经典背景线性涨落的横向无痕模的波动方程改写为具有有限bottommore »的火山势的Schroedinger方程的形式，在紧致和扩展的情况下都是如此。我们求解了无质量零模m{sup 2}=0的薛定谔方程，得到了代表稳定四维引力子的单个束缚波函数。我们还得到了m{sup 2}>0的KK态在y=c{sub 2}处被抑制并逐渐转变为平面波的连续无带隙谱。«少
We consider the generation of thick brane configurations in a pure geometric Weyl integrable 5D spacetime which constitutes a non-Riemannian generalization of Kaluza-Klein (KK) theory. In this framework, we show how 4D gravity can be localized on a scalar thick brane which does not necessarily respect reflection symmetry, generalizing in this way several previous models based on the Randall-Sundrum (RS) system and avoiding both, the restriction to orbifold geometries and the introduction of the branes in the action by hand. We first obtain a thick brane solution that preserves 4D Poincare invariance and breaks Z{sub 2}-symmetry along the extra dimension which, indeed, can be either compact or extended, and supplements brane solutions previously found by other authors. In the noncompact case, this field configuration represents a thick brane with positive energy density centered at y=c{sub 2}, whereas pairs of thick branes arise in the compact case. Remarkably, the Weylian scalar curvature is nonsingular along the fifth dimension in the noncompact case, in contraposition to the RS thin brane system. We also recast the wave equations of the transverse traceless modes of the linear fluctuations of the classical background into a Schroedinger's equation form with a volcano potential of finite bottommore » in both the compact and the extended cases. We solve Schroedinger equation for the massless zero mode m{sup 2}=0 and obtain a single bound wave function which represents a stable 4D graviton. We also get a continuum gapless spectrum of KK states with m{sup 2}>0 that are suppressed at y=c{sub 2} and turn asymptotically into plane waves.« less