论文标题
标量场宇宙学的分析解决方案，早期通货膨胀的数学结构和迟到的膨胀加速
Analytic Solutions of Scalar Field Cosmology, Mathematical Structures for Early Inflation and Late Time Accelerated Expansion
论文作者
论文摘要
我们研究了具有实际标量场的最通用的宇宙学模型，该模型最小化与重力耦合。我们的计算基于Friedmann-Lemaitre-Robertson-Walker（FLRW）背景度量。场方程由三个微分方程组成。我们通过更改可变$ \ dot {a}/a = h（a）$的变化来切换自变量。因此，可以通过已知方法在分析上可以在分析上解决新的微分方程。当其中一个以最通用的形式给出时，我们制定了哈勃函数，标量场，电势和能量密度。只要可以使用集成技术的方法，就可以明确地找到$ a（t）$。我们根据这些公式在早期以及后期研究宇宙的动力学。我们发现数学机械打开并关闭了早期加速扩展。另一方面，宇宙域的壁上解释了较晚的加速扩张。我们通过考虑哈勃张力和绝对幅度张力，将结果与最近对IA型超新星的观察结果进行了比较。当前宇宙中的百分之八十九个可能由域墙组成，而休息很重要。
We study the most general cosmological model with real scalar field which is minimally coupled to gravity. Our calculations are based on Friedmann-Lemaitre-Robertson-Walker (FLRW) background metric. Field equations consist of three differential equations. We switch independent variable from time to scale factor by change of variable $\dot{a}/a=H(a)$. Thus a new set of differential equations are analytically solvable with known methods. We formulate Hubble function, the scalar field, potential and energy density when one of them is given in the most general form. $a(t)$ can be explicitly found as long as methods of integration techniques are available. We investigate the dynamics of the universe at early times as well as at late times in light of these formulas. We find mathematical machinery which turns on and turns off early accelerated expansion. On the other hand late time accelerated expansion is explained by cosmic domain walls. We have compared our results with recent observations of type Ia supernovae by considering the Hubble tension and absolute magnitude tension. Eighty-nine percent of present universe may consist of domain walls while rest is matter.
