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arXiv 1002.1560gr-qc
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FRW时空中物质含量的含时额外维和高维修正

Time-dependent extra dimension and higher-dimensional modifications to the matter content in FRW spacetimes

M. La Camera

摘要:

在这项工作中,我们提出,不仅可以获得对FRW时空中物质含量的高维修改,正如庞塞·德莱昂首先考虑的那样,指的是与嵌入5D流形的时间相关额外维度非正交的“移动”4D超曲面,但也提到“固定”与合适的标量函数正交的4D超曲面,该标量函数定义了5D流形的静态叶理,并在合适的坐标系中扮演额外维度的角色。在每种方法中获得的结果关键取决于用于识别我们的膜宇宙的4D度量从5D度量的散装流形的方法。

英文摘要:

In this work we suggest that higher-dimensional modifications to the matter content in FRW spacetimes can be obtained not only, as first considered by Ponce de Leon, referring to "moving" 4D hypersurfaces non-orthogonal to the time-dependent extra dimension of an embedding 5D manifold, but also referring to "fixed" 4D hypersurfaces orthogonal to a suitable scalar function which defines a static foliation of the 5D manifold and takes the role of the extra dimension in a suitable coordinate system. Results obtained in each approach crucially depend on the method used to identify the 4D metric of our brane universe from the 5D metric of the bulk manifold.

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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