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arXiv 2104.07690gr-qcastro-ph.CO
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重新审视互动精髓的动力学

Revisiting dynamics of interacting quintessence

Patrocinio Pérez, Ulises Nucamendi, Roberto De Arcia

摘要:

我们应用动力系统理论的工具,以重访和揭示的结构的非引力之间的无压暗物质和暗能量描述的标量场$ϕ$。对于耦合函数$Q = -(αdρ_m/dt + βdρ_ϕ/dt )$,其中t是宇宙时间,我们发现它可以重写为$Q = 3H (αρ_m + β(dϕ/dt)^2 )/(1-α+β)$的形式,使得它对暗物质密度和标量场的动力学项的依赖是线性的,并且与哈勃参数成比例。我们分别分析了$α=0$、$α= β$和$α= -β$三种情况,为了描述宇宙学演化,我们计算了各种观测量。这项工作的一个显着的结果是,不像非相互作用的标量场与指数势的五个临界点出现,在这里研究的情况下,除了物质主导的解决方案,其余的奇点转化为丰富的相空间的标度解。结果表明,对于$α\neq 0$,分界线出现显着修改相空间的结构。这是一个在文献中从未提及的新特征。

英文摘要:

We apply the tools of the dynamical system theory in order to revisit and uncover the structure of a nongravitational interaction between pressureless dark matter and dark energy described by a scalar field $ϕ$. For a coupling function $Q = -(αdρ_m/dt + βdρ_ϕ/dt )$, where t is the cosmic time, we have found that it can be rewritten in the form $Q = 3H (αρ_m + β(dϕ/dt)^2 )/(1-α+β)$, so that its dependence on the dark matter density and on the kinetic term of the scalar field is linear and proportional to the Hubble parameter. We analyze the scenarios $α=0$, $α= β$ and $α= -β$, separately and in order to describe the cosmological evolution we have calculated various observables. A notable result of this work is that, unlike for the noninteracting scalar field with exponential potential where five critical points appear, in the case studied here, with the exception of the matter dominated solution, the remaining singular points are transformed into scaling solutions enriching the phase space. It is shown that for $α\neq 0$, a separatrix arises modifying prominently the structure of the phase space. This represents a novel feature no mentioned before in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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