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arXiv 1209.4099gr-qchep-th
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各向异性模型体基方法与膜基方法的等价性研究

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

Gülçin Uluyazi

摘要:

我们研究了膜世界模型中各向异性情况下基于膜和基于体的方法之间的关系。在基于膜的方法中,膜被选择为固定在坐标系上,而在基于体的方法中,膜在沿着额外维度移动时不再是静态的。结果表明,这两种方法基本上是相同的特定模型Mukohyama等人,Bowcock等人。在本文中,它的目的是得到一般形式的等价Mukohyama等人。我们发现,由一个一般的各向异性体为基础的度量驱动的计算产生一个膜为基础的度量在高斯正常坐标保存空间各向异性。我们还推导了各向异性体模型的解,并应用于得到相应的膜基度量的模型。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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