论文标题
稳定的小型空间头发在幂律K通货膨胀模型中
Stable small spatial hairs in a power-law k-inflation model
论文作者
论文摘要
在本文中，我们扩展了对非经典各向异性膨胀中宇宙无头发猜想的有效性的研究。结果，在标量和电磁场之间存在不寻常的耦合的情况下，我们能够找出一个精确的Bianchi I型解决方案{\ it k} - 通电模型，为$ -f^2（ϕ）f_ {μν）此外，基于动力学系统方法的稳定性分析表明，所获得的解决方案确实在通货膨胀阶段允许稳定而有吸引力的头发，因此违反了宇宙的无头发猜想。最后，我们表明，该模型的相应张量与尺度比与Planck 2018的观察数据高度一致。
In this paper, we extend our investigation of the validity of the cosmic no-hair conjecture within non-canonical anisotropic inflation. As a result, we are able to figure out an exact Bianchi type I solution to a power-law {\it k}-inflation model in the presence of unusual coupling between scalar and electromagnetic fields as $-f^2(ϕ)F_{μν}F^{μν}/4$. Furthermore, stability analysis based on the dynamical system method indicates that the obtained solution does admit stable and attractive hairs during an inflationary phase and therefore violates the cosmic no-hair conjecture. Finally, we show that the corresponding tensor-to-scalar ratio of this model turns out to be highly consistent with the observational data of the Planck 2018.
