标题： 各向异性幂律膨胀：非规范标量场非最小耦合于二形式场的模型 显示英文标题

标题： Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field

摘要： 本文中，我们研究了所谓宇宙无毛猜想在非规范标量场各向异性暴胀模型中的有效性，这些标量场是非最小耦合到二形式场的。特别是，我们集中于两种典型的各向异性暴胀模型：{\it k}-暴胀和Dirac-Born-Infeld暴胀，并发现了一组精确的各向异性幂律暴胀解。有趣的是，利用动力系统分析表明，这些解在暴胀阶段是稳定的且具有吸引力。所得结果表明，在暴胀阶段，标量场与二形式场之间的非最小耦合作用作为一个非平凡源生成了稳定的时空各向异性，因此违反了宇宙无毛猜想的预测，即使标量场的形式是非规范的。结合Planck 2018数据，我们研究了这些各向异性解的张量-标量比。结果表明，{\it k}-暴胀模型的各向异性幂律暴胀解的张量-标量比与Planck 2018数据更加一致，而Dirac-Born-Infeld模型的则不如它。 显示英文摘要

摘要： In this paper, we investigate the validity of the so-called cosmic no-hair conjecture in the framework of anisotropic inflation models of non-canonical scalar fields non-minimally coupled to a two-form field. In particular, we focus on two typical {\it k}-inflation and Dirac-Born-Infeld inflation models, in which we find a set of exact anisotropic power-law inflationary solutions. Interestingly, these solutions are shown to be stable and attractive during an inflationary phase using the dynamical system analysis. The obtained results indicate that the non-minimal coupling between the scalar and two-form fields acts as a non-trivial source of generating stable spatial anisotropies during the inflationary phase and therefore violates the prediction of the cosmic no-hair conjecture, even when the scalar field is of non-canonical forms. In connection with the Planck 2018 data, tensor-to-scalar ratios of these anisotropic solutions are investigated. As a result, it appears that the tensor-to-scalar ratio of the anisotropic power-law inflationary solution of {\it k}-inflation model turns out to be more highly consistent with the Planck 2018 data than that of Dirac-Born-Infeld model.