高维宇宙学中暗能量模型的变$G$修正
Variable $G$ Correction for Dark Energy Model in Higher Dimensional Cosmology
摘要：
本文考虑了$N (=4+d)$维爱因斯坦场方程，其中四维时空用FRW度规描述，额外的$d$维用欧几里德度规描述。本文计算了高维宇宙学中引力常量$G$变化对状态探测器参数的修正。我们考虑了暗能量和暗物质是否相互作用的两种特殊情况。在引力常量是动态的宇宙中，状态探测器参数的变量$G$修正是不可避免的.在$G$修正量变化的影响下，得到了广义Chaubergin气体的状态探测器参数.
英文摘要：
In this work, we have considered $N (=4+d)$-dimensional Einstein field equations in which 4-dimensional space-time which is described by a FRW metric and that of the extra $d$-dimensions by an Euclidean metric. We have calculated the corrections to statefinder parameters due to variable gravitational constant $G$ in higher dimensional Cosmology. We have considered two special cases whether dark energy and dark matter interact or not. In a universe where gravitational constant is dynamic, the variable $G$-correction to statefinder parameters is inevitable. The statefinder parameters are also obtained for generalized Chaplygin gas in the effect of the variation of $G$ correction.
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