论文标题
弗里德曼循环宇宙的绝热不变方法
Adiabatic invariant approach on Friedmann cyclic universe
论文作者
论文摘要
宇宙的振荡或循环模型受到弗里德曼（Friedmann）1922年的开创性论文的启发。该模型假设一个封闭的宇宙。在这项工作中，我们研究了弗里德曼（Friedmann）使用绝热不变方法封闭了宇宙。我们开始重新审视N. Rosen提出的宇宙学，并从Rosen的宇宙学概念中得出拉格朗日密度。重要的是，我们介绍了Noether量规对称性，然后是RUND-TRAUMANN身份（RTI）和绝热不变方法来检查循环模型。我们考虑了$ a（t = 0）$和$ a（t = t）$的相对论物质（僵硬物质）的单一组成形式，令人惊讶地发现世界时期由$ \ sim 15.8 $ gy给出，它非常接近使用Friedmann的循环宇宙公式计算得出的。
Oscillating or cyclic models of the universe were inspired by Friedmann's seminal paper of 1922. The model supposes a closed universe. In this work, we study Friedmann closed universe using the adiabatic invariant approach. We start revisiting the cosmological force proposed by N. Rosen and derive the Lagrangian density from Rosen's concepts of cosmological force. Importantly, we introduce the Noether gauge symmetry followed by the Rund-Traumann identity (RTI) and adiabatic invariant approach to examine the cyclic models. We consider a single component form of relativistic matter (stiff matter) at $a(t=0)$ and $a(t=T)$, and surprisingly discover the world period is given by $\sim 15.8$ Gy which is very close to that computed using the Friedmann's formula for the cyclic universe.
