标题： 基于体的和膜的方法在各向异性模型中的等价性研究 显示英文标题

标题： An Investigation of Equivalence between the Bulk-based and the Brane-based Approaches for Anisotropic Models

摘要： 我们研究了在膜世界模型中各向异性情况下的基于膜的方法和基于体的方法之间的关系。 在基于膜的方法中，膜被选择为固定在一个坐标系上，而在基于体的方法中，它不再静态，因为它沿着额外维度移动。 已经表明，对于特定模型，这两种方法基本上是相等的，如Mukohyama等人，Bowcock等人所述。 本文旨在获得在Mukohyama等人中得到的等价性的通用形式。 我们发现，由一般的各向异性基于体度量驱动的计算通过保持空间各向异性，在高斯规范坐标中产生一个基于膜的度量。 我们还推导出一个各向异性基于体模型的解，并应用于得到该模型相应的基于膜的度量。 显示英文摘要

摘要： We investigate the relation between the brane-based and the bulk-based approaches for anisotropic case in brane-world models. In the brane-based approach, the brane is chosen to be fixed on a coordinate system, whereas in the bulk-based approach it is no longer static as it moves along the extra dimension. It was shown that these two approaches are basicly equal for specific models Mukohyama et al., Bowcock et al. In this paper, it is aimed to get general formalism of the equivalence obtained in Mukohyama et al. We found that calculations driven by a general anisotropic bulk-based metric yield a brane-based metric in Gaussian Normal Coordinates by conserving spatial anisotropy. We also derive solutions for an anisotropic bulk-based model and apply to get corresponding brane-based metric of the model.