Einstein-Aether引力下修正的Chaubergin气体的动力学系统分析
Dynamical System Analysis of Modified Chaplygin Gas in Einstein-Aether Gravity
摘要：
在这项工作中，我们调查的背景动力学时，暗能量耦合到暗物质与适当的相互作用在宇宙中描述的爱因斯坦-以太引力。考虑了修正的Chaubergin气体形式的暗能量。考虑了暗能量和暗物质之间的适当相互作用，以便至少减轻（如果不能解决）宇宙符合问题。数值求解动力学方程组，得到稳定的标度解。对宇宙符合问题的解决进行了有意义的尝试。计算了状态探测器参数，对暗能量模型进行了分类。绘制了相图和相图，研究了这些参数的变化。我们还看到，在爱因斯坦-以太引力中，修正的Chaubergin气体的背景动力学与宇宙晚期加速膨胀的概念完全一致。最后，它已经表明，宇宙遵循幂律形式的膨胀在临界点附近。
英文摘要：
In this work we investigate the background dynamics when dark energy is coupled to dark matter with a suitable interaction in the universe described by Einstein-Aether gravity. Dark energy in the form of Modified Chaplygin gas is considered. A suitable interaction between dark energy and dark matter is considered in order to at least alleviate (if not solve) the cosmic coincidence problem. The dynamical system of equations is solved numerically and a stable scaling solution is obtained. A significant attempt towards the solution of the cosmic coincidence problem is taken. The statefinder parameters are also calculated to classify the dark energy models. Graphs and phase diagrams are drawn to study the variations of these parameters. It is also seen that the background dynamics of modified Chaplygin gas in Einstein-Aether gravity is completely consistent with the notion of an accelerated expansion in the late universe. Finally, it has been shown that the universe follows the power law form of expansion around the critical point.
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