论文标题
标量场的物理潜力重建的广义标量调整理论
Generalized scalar-tensor theory of gravity reconstruction from physical potentials of a scalar field
论文作者
论文摘要
我们描述了如何重建通用标量重力（GSTG）理论，该理论允许对物理类型的物理类型进行确切的解决方案。我们的考虑涉及基于GSTG的宇宙通货膨胀模型，以及（非典型）标量场与RICCI标量的非最小耦合。对这些模型分析的建议方法的基础是哈勃参数$ h $与非微耦合$ f = 1+Δf$的函数之间的先验指定关系。偏离爱因斯坦重力$ΔF$的偏差会引起潜在$ΔV$与恒定值的相应偏差，并从纯de Sitter指数扩展中修改动力学。我们分析了尺度因子的指数幂律演化模型，并找到了非最小耦合的影响方程，以特殊形式选择其对电势和动力学能量的选择。这种考虑使我们可以将物理电位替换为获得的方程式，然后计算定义GSTG参数的非最小耦合函数和动力学项。通过这种方法，我们重建了GSTG，用于多项式，指数，希格斯，希格斯·斯特罗宾斯基和科尔曼 - 温伯格势。我们特别注意宇宙学扰动的参数，并证明了对应于普朗克的观察数据的通信。
We describe how to reconstruct generalized scalar-tensor gravity (GSTG) theory, which admits exact solutions for physical type of the potentials. Our consideration deals with cosmological inflationary models based on GSTG with non-minimal coupling of a (non-canonical) scalar field to the Ricci scalar. The basis of proposed approach to the analysis of these models is a priori specified relation between the Hubble parameter $H$ and a function of non-minimal coupling $F=1+δF$ as $H\propto\sqrt{F}$. Deviations from Einstein gravity $δF$ induce a corresponding deviations of the potential $δV$ from a constant value and modify the dynamics from pure de Sitter exponential expansion. We analyze the models with exponential power-law evolution of the scale factor and we find the equations of influence of non-minimal coupling, choosing it in the special form, on the potential and kinetic energies. Such consideration allows us to substitute the physical potential into obtained equations and then to calculate the non-minimal coupling function and kinetic term that are define GSTG parameters. With this method, we reconstruct GSTG for polynomial, exponential, Higgs, Higgs-Starobinsky and Coleman-Weinberg potentials. Special attention we pay to parameters of cosmological perturbations and prove correspondence obtained solutions to observational data from Planck.
