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arXiv 1007.0479gr-qc
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广义相对论中的五维宇宙模型

Five Dimensional Cosmological Models in General Relativity

R. K. Tiwari, Farook Rahaman, Saibal Ray

摘要:

本文考虑了五维Kaluza-Klein时空,其中理想流体源具有变量G和$Λ$ .利用度规势与物态方程之间的关系,发现了一个膨胀的宇宙。发现引力常量随时间减小为$G \sim t^{-(1-ω)}$,而宇宙学常数的变化如下:$Λ\sim t^{-2}$,$Λ\sim (\dot R/R)^2$和$Λ\sim \ddot R/R$,其中$ω$是状态方程参数,$R$是标度因子。

英文摘要:

A Five dimensional Kaluza-Klein space-time is considered in the presence of a perfect fluid source with variable G and $Λ$. An expanding universe is found by using a relation between the metric potential and an equation of state. The gravitational constant is found to decrease with time as $G \sim t^{-(1-ω)}$ whereas the variation for the cosmological constant follows as $Λ\sim t^{-2}$, $Λ\sim (\dot R/R)^2$ and $Λ\sim \ddot R/R$ where $ω$ is the equation of state parameter and $R$ is the scale factor.

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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