In the context of the dark energy scenario, the Einstein Yang-Mills Higgs model in the SO(3) representation was studied for the first time by M. Rinaldi (see JCAP 1510, 023 (2015)) in a homogeneous and isotropic spacetime. We revisit this model, finding in particular that the interaction between the Higgs field and the gauge fields generates contributions to the momentum density, anisotropic stress and pressures, thus making the model inconsistent with the assumed background. We instead consider a homogeneous but anisotropic Bianchi-I spacetime background in this paper and analyze the corresponding dynamical behaviour of the system. We find that the only attractor point corresponds to an isotropic accelerated expansion dominated by the Higgs potential. However, the model predicts non-negligible anisotropic shear contributions nowadays, i.e. the current universe can have hair although it will loose it in the future. We investigate the evolution of the equation of state for dark energy and highlight some possible consequences of its behaviour related to the process of large-scale structure formation. As a supplement, we propose the "Higgs triad" as a possibility to make the Einstein Yang-Mills Higgs model be consistent with a homogeneous and isotropic spacetime.

中文翻译：

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各向异性爱因斯坦杨米尔斯希格斯暗能量

在暗能量情景的背景下，M. Rinaldi（参见 JCAP 1510, 023 (2015)）首次在均匀和各向同性的时空中研究了 SO(3) 表示中的 Einstein Yang-Mills Higgs 模型。我们重新审视这个模型，特别是发现希格斯场和规范场之间的相互作用对动量密度、各向异性应力和压力产生了贡献，从而使模型与假设的背景不一致。相反，我们在本文中考虑了均匀但各向异性的 Bianchi-I 时空背景，并分析了系统的相应动力学行为。我们发现唯一的吸引点对应于由希格斯势主导的各向同性加速膨胀。然而，该模型预测当今不可忽略的各向异性剪切贡献，即 当前的宇宙可以有头发，尽管将来会松散。我们研究了暗能量状态方程的演变，并强调了其行为与大规模结构形成过程相关的一些可能后果。作为补充，我们提出“希格斯三元组”作为使爱因斯坦杨-米尔斯希格斯模型与均匀各向同性时空相一致的一种可能性。