论文标题
二阶校正到Starobinsky通货膨胀
Second-order corrections to Starobinsky inflation
论文作者
论文摘要
重力的高阶理论是对一般相对论（GR）的扩展，主要是由高能物理学促进的，以寻找GR紫外线的完整性。它们的特征在于在爱因斯坦 - 希尔伯特（Einstein-Hilbert）作用中包含校正项，该作用导致了高阶场方程。在本文中，我们提议调查通货膨胀，这是由于所有更正条款构建的GR扩展，直到仅涉及标量曲率$ r $的二阶，即$ r^{2} $，$ r^{3} $，$ r \ square r $。我们研究了Friedmann宇宙学背景中的通货膨胀，在该背景中，我们研究了模型的相空间，并探索了缓慢滚动领先的通货膨胀。此外，我们描述了标量扰动的演变，并正确建立了曲率扰动。最后，我们与Planck，Bicep3/Keck和Bao Data的最新观察结果面对了所提出的模型。
Higher-order theories of gravity are extensions to general relativity (GR) motivated mainly by high-energy physics searching for GR ultraviolet completeness. They are characterized by the inclusion of correction terms in the Einstein-Hilbert action that leads to higher-order field equations. In this paper, we propose investigating inflation due to the GR extension built with all correction terms up to the second-order involving only the scalar curvature $R$, namely, $R^{2}$, $R^{3}$, $R\square R$. We investigate inflation within the Friedmann cosmological background, where we study the phase space of the model, as well as explore inflation in slow-roll leading-order. Furthermore, we describe the evolution of scalar perturbations and properly establish the curvature perturbation. Finally, we confront the proposed model with recent observations from Planck, BICEP3/Keck, and BAO data.
