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arXiv 1709.04016gr-qc
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从${\bf d= 5}$中的自相互作用Brans-Dicke理论看${\bfΛ}$ CDM模型的出现

On the emergence of the ${\bfΛ}$CDM model from self-interacting Brans-Dicke theory in ${\bf d= 5}$

Luz Marina Reyes, Santiago Esteban Perez Bergliaffa

摘要:

我们研究了无物质和含时度规的$d=5$中的自相互作用Brans-Dicke理论在降维为$d=4$后,是否能描述具有加速膨胀和非相对论物质的FLRW模型.通过将有效四维理论改写为一个自治的三维动力学系统并研究其临界点,我们证明了$Λ$ CDM宇宙学不能从这样的模型中产生。这一结果表明,可能需要$d=5$中更丰富的结构来获得加速膨胀以及四维宇宙的物质含量。

英文摘要:

We investigate whether a self-interacting Brans-Dicke theory in $d=5$ without matter and with a time-dependent metric can describe, after dimensional reduction to $d=4$, the FLRW model with accelerated expansion and non-relativistic matter. By rewriting the effective 4-dimensional theory as an autonomous three-dimensional dynamical system and studying its critical points, we show that the $Λ$CDM cosmology cannot emerge from such a model. This result suggests that a richer structure in $d=5$ may be needed to obtain the accelerated expansion as well as the matter content of the 4-dimensional universe.

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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