各向异性驻波膜世界及其Sturm-Liouville问题
An anisotropic standing wave braneworld and associated Sturm-Liouville problem
摘要：
我们提出了一个一致的推导最近提出的5维各向异性驻波braneworld引力耦合到幻影状标量场。我们显式地求解了相应的结条件，这一事实使我们能够对膜上各向异性的能量-动量张量分量给出物理解释。所以膜上的物质代表一种振荡的流体，它向整体发出各向异性的波。我们还分析了与横截于膜度规和标量场的正确局部化条件相关的Sturm-Liouville问题。结果表明，这个条件限制了物理意义的空间的解决方案的局部波动的模型。
英文摘要：
We present a consistent derivation of the recently proposed 5D anisotropic standing wave braneworld generated by gravity coupled to a phantom-like scalar field. We explicitly solve the corresponding junction conditions, a fact that enables us to give a physical interpretation to the anisotropic energy-momentum tensor components on the brane. So matter on the brane represents an oscillating fluid which emits anisotropic waves into the bulk. We also analyze the Sturm-Liouville problem associated to the correct localization condition of the transverse to the brane metric and scalar fields. It is shown that this condition restricts the physically meaningful space of solutions for the localization of the fluctuations of the model.
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