【作者】 刘明；

【导师】 杨荣佳；

【作者基本信息】 河北大学 ， 理论物理， 2024， 硕士

【摘要】 暴胀是解决大爆炸宇宙学疑难问题的最简洁的理论,然而暴胀场的本质是什么仍然是宇宙学最大的挑战之一。k-inflation模型,是以具有非正则动能的k-essence场为暴胀场,近年来颇受关注。本文研究了两种k-inflation的Hamilton-Jacobi形式。我们假定Hubble参数是场的幂律型函数,得到了一些重要的可观测量的具体形式,例如标量功率谱、张标比、标量谱指数。我们利用Planck观测数据对模型的参数进行了限制,并给出了势能的具体形式,绘制了张标比和势能演化图。我们的研究表明:这两种k-inflation能够和观测数据较好地吻合。更多还原

【Abstract】 Inflation is the simplest theory to solve the difficult problems of the Big Bang cosmology,but the essence of the inflation field remains one of the biggest challenges in cosmology.The k-inflation model,which used a k-essence field with non-canonical kinetic term as the inflation field,has received considerable attention in recent years.This article investigated two Hamilton-Jacobi formalism of k-inflation.We assume that the Hubble parameters are powerlaw functions of the field and obtain specific forms of important observables,such as scalar power spectrum,tensor-to-scalar ratio,and scalar spectral index.We used Planck observation data to limit the parameters of the model and provided a specific form of potential.We also plotted the tensor-to-scalar ratio and potential evolution diagram.Our research indicates that these two types of k-inflation can match well with the observed data.更多还原