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arXiv 1209.3034gr-qchep-th
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基于块和基于膜方法的等价性研究

An Investigation of Equivalence between Bulk-based and Brane-based Approaches

Gülçin Uluyazi

摘要:

有两种不同的方法来处理膜世界模型,基于膜或基于块。在基于膜的方法中,膜被选择为固定在坐标系上,而在基于体的方法中,当它沿着额外的维度移动时,它不再是静态的。它的目的是获得Mukohyama等人[12]中针对特定模型获得的两种方法之间的等价性的一般形式。我们发现,由一般的各向异性体为基础的度量驱动的计算通过保存空间各向异性,在高斯正态坐标中产生基于膜的度量。

英文摘要:

There are two different approaches to handle brane-world models brane-based or bulk-based. 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 is aimed to get a general formalism of the equivalence between two approaches obtained for a specific model in Mukohyama et all [12]. We found that calculations driven by a general anisotropic bulk-based metric yields a brane-based metric in Gaussian Normal Coordinates by conserving spatial anisotropy.

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