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arXiv 1405.6597gr-qc
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Brans-Dicke理论中的Kasner解及其相应的约化宇宙学

Kasner Solution in Brans-Dicke Theory and its Corresponding Reduced Cosmology

S. M. M. Rasouli

备注：
4 pages, Contribution to the Spanish Relativity Meeting in Portugal, September 3-7, 2012 (ERE2012), Guimaraes, Portugal
发表信息：
Springer Proc. in Math. & Statist. 60, 371 (2014)
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摘要：

本文简要回顾了任意维修正的Brans-Dicke理论（MBDT），将（$N+1$）维场方程简化为具有源和有效感生标量势的$N$维$(ND)$位形.然后我们在$5D$ BD理论中研究了广义Bianchi ~I型各向异性宇宙学，得到了一个扩展的Kasner解.利用MBDT的原始方程，我们对超曲面上的约化Kasner宇宙学进行了研究，对一些宇宙学量进行了研究，并解释了它们在某些宇宙学模型中的性质。

英文摘要：

We present a brief review of the modified Brans-Dicke theory (MBDT) in arbitrary dimensions, whereby the ($N+1$)-dimensional field equations reduce to the $N$-dimensional $(ND)$ configuration with sources and an effective induced scalar potential. We then investigate a generalized Bianchi type~I anisotropic cosmology in $5D$ BD theory that leads to an extended Kasner solution. By employing the original equations of MBDT, we probe the reduced Kasner cosmology on the hypersuface with proceeding the investigations for a few cosmological quantities, explaining their properties for some cosmological models.}

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