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arXiv 1012.2431gr-qcastro-ph.CO
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宇宙暗流体中的阿基米德型力。晚期加速膨胀的精确解

Archimedean-type force in a cosmic dark fluid: I. Exact solutions for the late-time accelerated expansion

Alexander B. Balakin, Vladimir V. Bochkarev

摘要:

本文建立了一个新的自洽模型,从统一的观点解释宇宙演化的两个关键特征:早期宇宙的暴胀和晚期宇宙的加速膨胀。这个新模型的关键元素是暗物质与暗能量的阿基米德型耦合,它们形成了所谓的宇宙暗流体。我们假设浸入暗能量库中的暗物质粒子受到与暗能量压力的四阶梯度成正比的力的影响。阿基米德型耦合被证明在暗物质和暗流体的暗能量成分之间起着有效的能量-动量再分配器的作用,从而使宇宙的演化成为一个准周期和/或多阶段的过程。在第一部分的工作中,我们讨论的理论基础和新的精确解的模型主方程。特别注意的是集中在精确的解决方案,其比例因子是由反高斯函数:这些解决方案描述了后期的时间加速度,其特征在于在早期宇宙的非奇异行为。第二部分包含定性和数值分析的主方程,我们专注于描述一个多暴胀宇宙的解决方案。

英文摘要:

We establish a new self-consistent model in order to explain from a unified viewpoint two key features of the cosmological evolution: the inflation in the early Universe and the late-time accelerated expansion. The key element of this new model is the Archimedean-type coupling of the dark matter with dark energy, which form the so-called cosmic dark fluid. We suppose that dark matter particles immersed into the dark energy reservoir are affected by the force proportional to the four-gradient of the dark energy pressure. The Archimedean-type coupling is shown to play a role of effective energy-momentum redistributor between the dark matter and the dark energy components of the dark fluid, thus providing the Universe's evolution to be a quasiperiodic and/or multistage process. In the first part of the work we discuss a theoretical base and new exact solutions of the model master equations. Special attention is focused on the exact solutions for which the scale factor is presented by the anti-Gaussian function: these solutions describe the late-time acceleration and are characterized by a nonsingular behavior in the early Universe. The second part contains qualitative and numerical analysis of the master equations; we focus there on the solutions describing a multi-inflationary Universe.

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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