Inflationary era of our Universe can be characterized as semi-classical because it can be described in the context of four-dimensional Einstein’s gravity involving quantum corrections. These string motivated corrections originate from quantum theories of gravity such as superstring theories and include higher gravitational terms as, Gauss–Bonnet and Chern–Simons terms. In this paper we investigated inflationary phenomenology coming from a scalar field, with quadratic curvature terms in the view of GW170817. Firstly, we derived the equations of motion, directly from the gravitational action. As a result, formed a system of differential equations with respect to Hubble’s parameter and the inflaton field which was very complicated and cannot be solved analytically, even in the minimal coupling case. Based on the observations from GW170817 event, which have shown that the speed of the primordial gravitational wave is equal to the speed of light, \(c_{\mathcal {T}}^2=1\) in natural units, our equations of motion where simplified after applying the constraint \(c_{\mathcal {T}}^2=1\), the slow-roll approximations and neglecting the string corrections. We described the dynamics of inflationary phenomenology and proved that theories with Gauss–Bonnet term can be compatible with recent observations. Also, the Chern–Simons term leads to asymmetric generation and evolution of the two circular polarization states of gravitational wave. Finally, viable inflationary models are presented, consistent with the observational constraints. The possibility of a blue tilted tensor spectral index is briefly investigated.

我们宇宙的暴胀时代可以被描述为半经典时代，因为它可以在涉及量子校正的四维爱因斯坦引力的背景下进行描述。这些弦驱动的修正源自量子引力理论，例如超弦理论，并包括更高的引力项，如高斯-博内和陈-西蒙斯项。在本文中，我们研究了来自标量场的暴胀现象学，从 GW170817 的角度来看具有二次曲率项。首先，我们直接从引力作用推导出运动方程。结果，形成了一个关于哈勃参数和暴胀子场的微分方程组，该方程组非常复杂，即使在最小耦合情况下也无法解析求解。根据 GW170817 事件的观察，\(c_{\mathcal {T}}^2=1\)在自然单位中，我们的运动方程在应用约束后简化了\(c_{\mathcal {T}}^2=1\)，慢-滚动近似并忽略弦校正。我们描述了暴胀现象学的动力学，并证明了具有高斯-博内项的理论可以与最近的观察相容。此外，陈-西蒙斯项导致引力波的两个圆极化状态的不对称产生和演化。最后，提出了可行的通货膨胀模型，与观测限制一致。简要研究了蓝色倾斜张量光谱指数的可能性。