arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1201.3787gr-qcastro-ph.COhep-thmath-phmath.MP
收藏

论通货膨胀的根源

On the origin of inflation

Torsten Asselmeyer-Maluga, Jerzy Król

摘要:

本文讨论了具有S^{3}xR拓扑但具有不同光滑结构的时空。这个时空不是一个整体的双曲时空。特别地,我们得到了一个时间线的拓扑变化的空间从3-球到一个同调3-球,并返回,但没有拓扑变化的时空。在这个时空的无限可能的光滑结构中,我们选择了一个具有双曲几何的同调3-球面,它允许一个齐次度量。然后,拓扑变化可以通过随时间变化的曲率参数k从k=+1变化到k=-1并返回来描述。在插入这个函数后,尘埃物质(p=0)的弗里德曼方程的解显示出指数增长,这是暴胀的典型特征。与其他膨胀模型不同,这个过程在有限的时间后停止。

英文摘要:

In this paper we discuss a space-time having the topology of S^{3}xR but with different smoothness structure. This space-time is not a global hyperbolic space-time. Especially we obtain a time line with a topology change of the space from the 3-sphere to a homology 3-sphere and back but without a topology-change of the space-time. Among the infinite possible smoothness structures of this space-time, we choose a homology 3-sphere with hyperbolic geometry admitting a homogenous metric. Then the topology change can be described by a time-dependent curvature parameter k changing from k=+1 to k=-1 and back. The solution of the Friedman equation for dust matter (p=0) after inserting this function shows an exponential growing which is typical for inflation. In contrast to other inflation models, this process stops after a finite time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑