arXiv 1508.045762015-08gr-qcastro-ph.COhep-th

暗能量作为Einstein Yang-Mills Higgs方程的不动点

Dark energy as a fixed point of the Einstein Yang-Mills Higgs Equations

Massimiliano Rinaldi

备注：: No changes, accepted for publication on JCAP
发表信息：: JCAP10(2015)023
DOI：: 10.1088/1475-7516/2015/10/023

摘要：

本文研究了在各向同性、均匀的平坦宇宙中，存在辐射和物质流体时，$SO(3)$表象下的Einstein Yang-Mills Higgs方程.我们将运动方程映射成一个一阶微分方程的自治动力系统，并找到平衡点。我们证明了只有一个稳定的不动点对应于未来加速膨胀的宇宙。相反，在过去，有一个不稳定的不动点，它意味着刚性物质的支配。在这两者之间，我们发现了另外三个不稳定的不动点，按时间顺序，分别对应于辐射支配、物质支配，以及从减速膨胀到加速膨胀的过渡。我们解决了系统的数值，我们确认，有平滑的轨迹，正确地描述了宇宙的演化，从一个遥远的过去占主导地位的辐射到一个遥远的未来占主导地位的暗能量，通过一个物质占主导地位的阶段。

英文摘要：

We study the Einstein Yang-Mills Higgs equations in the $SO(3)$ representation on a isotropic and homogeneous flat Universe, in the presence of radiation and matter fluids. We map the equations of motion into an autonomous dynamical system of first-order differential equations and we find the equilibrium points. We show that there is only one stable fixed point that corresponds to an accelerated expanding Universe in the future. In the past, instead, there is an unstable fixed point that implies a stiff-matter domination. In between, we find three other unstable fixed points, corresponding, in chronological order, to radiation domination, to matter domination, and, finally, to a transition from decelerated expansion to accelerated expansion. We solve the system numerically and we confirm that there are smooth trajectories that correctly describe the evolution of the Universe, from a remote past dominated by radiation to a remote future dominated by dark energy, passing through a matter-dominated phase.

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摘要：

英文摘要：

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