标题： 静态中子星 二次和诱导暴胀吸引子标量-张量理论的视角 显示英文标题

标题： Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories

摘要： 本研究从静态中子星的角度出发，关注两种类型的宇宙暴胀吸引子理论，即诱导暴胀吸引子和二次暴胀吸引子。 这两种宇宙模型在天文学上可以区分，因为其中一种不提供可行的暴胀现象学，因此在本文中我们研究这些理论对静态中子星的预测，主要关注中子星的质量和半径。 我们的目标是证明尽管这些模型具有不同的暴胀现象学，但这两个模型对中子星现象学的预测非常相似。 我们使用一种强大的双射击数值技术，在爱因斯坦框架中数值求解托尔曼-奥本海默-沃尔科夫方程，并在推导出三种多态状态方程的质量-半径图后，推导出乔丹框架中的质量与半径。 关于状态方程，我们使用多态状态方程，其中小密度部分要么是WFF1、APR，要么是中间刚度状态方程SLy。 我们模型的结果将与最近提出的对特定质量中子星半径的严格约束进行对比。 正如我们所展示的，唯一能提供与约束相容结果的状态方程是SLy，适用于二次和诱导暴胀吸引子。 因此，目前由于越来越多的约束观测，标量-张量描述的中子星受到了严格的审查，这最终可能也会对暴胀理论进行约束。 显示英文摘要

摘要： This study focuses on the static neutron star perspective for two types of cosmological inflationary attractor theories, namely the induced inflationary attractors and the quadratic inflationary attractors. The two cosmological models can be discriminated cosmologically, since one of the two does not provide a viable inflationary phenomenology, thus in this paper we investigate the predictions of these theories for static neutron stars, mainly focusing on the mass and radii of neutron stars. We aim to demonstrate that although the models have different inflationary phenomenology, the neutron star phenomenology predictions of the two models are quite similar. We solve numerically the Tolman-Oppenheimer-Volkoff equations in the Einstein frame using a powerful double shooting numerical technique, and after deriving the mass-radius graphs for three types of polytropic equations of state, we derive the Jordan frame mass and radii. With regard the equations of state we use polytropic equation of state with the small density part being either the WFF1, the APR or the intermediate stiffness equation of state SLy. The results of our models will be confronted with quite stringent recently developed constraints on the radius of neutron stars with specific mass. As we show, the only equation of state which provides results compatible with the constraints is the SLy, for both the quadratic and induced inflation attractors. Thus nowadays, scalar-tensor descriptions of neutron stars are quite scrutinized due to the growing number of constraining observations, which eventually may also constrain theories of inflation.