Kaluza-Klein度规下各向异性宇宙中的变量修正Chaubergin气体
Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric
摘要：
本文考虑了各向异性宇宙中的Kaluza-Klein宇宙学，其中宇宙充满了可变的修正的Chaubergin气体（VMCG）。在这里，我们发现正常的标量场$ϕ$和自相互作用势$V(ϕ)$来描述VMCG宇宙学。并对各向异性Kaluza-Klein模型中的几何参数{ \it statefinder parameters}进行了图解分析。接下来，我们考虑了在爱因斯坦引力框架下VMCG与暗物质相互作用的Kaluza-Klein模型。在这里，我们构造了这个相互作用模型的三维自治动力学方程组的假设，暗能量和暗物质之间的相互作用，我们还选择了相互作用项。我们将相互作用项转换为无量纲形式，并进行稳定性分析和数值求解。我们得到了Kaluza-Klein模型中方程的稳定标度解，并用图形表示了解。
英文摘要：
In this work, we have consider Kaluza-Klein Cosmology for anisotropic universe where the universe is filled with variable modified chaplygin gas (VMCG). Here we find normal scalar field $ϕ$ and the self interacting potential $V(ϕ)$ to describe the VMCG Cosmology. Also we graphically analyzed the geometrical parameters named {\it statefinder parameters} in anisotropic Kaluza-Klein model. Next, we consider a Kaluza-Klein model of interacting VMCG with dark matter in the Einstein gravity framework. Here we construct the three dimensional autonomous dynamical system of equations for this interacting model with the assumption that the dark energy and the dark matter are interact between them and for that we also choose the interaction term. We convert that interaction terms to its dimensionless form and perform stability analysis and solve them numerically. We obtain a stable scaling solution of the equations in Kaluza-Klein model and graphically represent solutions.
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