论文标题
相互作用的深色能量和暗物质的广义模型：不断发展的宇宙的阶段肖像分析
Generalized Model of Interacting Dark Energy and Dark Matter : Phase Portrait Analysis of Evolving Universe
论文作者
论文摘要
这项工作的主要目的是通过可接受的交互式动力学宇宙学模型对当前加速宇宙提供适当的解释。在Friedmann-Lema- Robertson-Walker渐近时空的背景下引入了三流体宇宙学模型。该模型由互动暗物质和深色能量和重型物质组成，可作为满足状态的正压方程的完美液体。我们认为灰尘是暗物质的候选者。标量字段$ ϕ $代表具有潜在$ V（ϕ）$的暗能量。爱因斯坦的场方程用于通过选择暗能和暗物质之间的合适相互作用来构建三维互动自主系统。我们将相互作用内核作为$ q =3β{2γ}hρ_d$。为了解释该系统的稳定性，我们获得了一些合适的关键点。我们分析获得的关键点的稳定性，以显示宇宙的不同阶段和宇宙学的含义。令人惊讶的是，当模型参数$α= -5.05 $时，我们发现了一些稳定的临界点，代表了迟到的时间深色能量。为了同时解释能源主导的时代以及宇宙的后期加速度，我们引入了二维互动自主系统。在对二维系统的图形分析后，我们获得了几个稳定的点，这些稳定点代表了以黑暗能量为主的ERA和晚期宇宙加速度的同时。我们还显示了Phantom屏障附近相互作用的变化（$ω_{eff} = - 1 $）。从我们的工作中，我们还可以预测宇宙的未来阶段演变。到目前为止，未发现未来减速的趋势。
Main aim of this work is to give a suitable explanation of present accelerating universe through an acceptable interactive dynamical cosmological model. A three-fluid cosmological model is introduced in the background of Friedmann-Lemaître-Robertson-Walker asymptotically flat spacetime. This model consists of interactive dark matter and dark energy with baryonic matter taken as perfect fluid satisfying barotropic equation of state. We consider dust as the candidate of dark matter. A scalar field $ϕ$ represents dark energy with potential $V(ϕ)$. Einstein's field equations are utilised to construct a three-dimensional interactive autonomous system by choosing suitable interaction between dark energy and dark matter. We take the interaction kernel as $Q = 3β^{2γ} Hρ_d$. In order to explain the stability of this system, we obtained some suitable critical points. We analyse stability of obtained critical points to show the different phases of universe and cosmological implications. Surprisingly, we find some stable critical points which represent late time dark energy dominated era when a model parameter $α=-5.05$. In order to explain both the energy dominated era as well as the late-time acceleration of the universe at same time, we introduce a two-dimensional interactive autonomous system. After graphical analysis of two-dimensional system, we get several stable points which represent dark energy dominated era and the late-time cosmic acceleration both at the same time. We also show the variation in interaction at vicinity of phantom barrier ($ω_{eff}=-1$). From our work we can also predict the future phase evolution of the universe. No tendency for future deceleration is detected so far.
