论文标题
与暗物质耦合幻影深色能量的宇宙进化的动力学系统分析
A Dynamical System Analysis of cosmic evolution with coupled phantom dark energy with dark matter
论文作者
论文摘要
目前的工作是在宇宙学背景下应用动态系统分析的一个示例。在这里，在同质和各向同性平坦的Friedmann-Lema- Robertson-Walker时空的背景中考虑了宇宙进化，并具有相互作用的深色能量和变化的质量暗物质。将暗能量（DE）选为具有自相互作用潜力的幻影标量场，而暗物质（DM）以灰尘的形式选择。标量场的潜力和暗物质的质量功能被选择为指数或幂律形式或其产品形式。使用合适的无量纲变量，爱因斯坦磁场方程和保护方程构成一个自主系统。使用中心歧管理论分析了非纤维化临界点的稳定性。最后，已经通过庞加莱指数理论进行的分叉分析来检测到宇宙相变。
The present work is an example of the application of the dynamical system analysis in the context of cosmology. Here cosmic evolution is considered in the background of homogeneous and isotropic flat Friedmann-Lemaître-Robertson-Walker space-time with interacting dark energy and varying mass dark matter as the matter content. The Dark Energy (DE) is chosen as phantom scalar field with self-interacting potential while the Dark Matter (DM) is in the form of dust. The potential of the scalar field and the mass function of dark matter are chosen as exponential or power-law form or in their product form. Using suitable dimensionless variables the Einstein field equations and the conservation equations constitute an autonomous system. The stability of the non-hyperbolic critical points are analyzed by using center manifold theory. Finally, cosmological phase transitions have been detected through bifurcation analysis which has been done by Poincaré index theory.
