论文标题

对宇宙扩展的模量振荡和辐射的全面分析

Full higher-dimensional analysis of moduli oscillation and radiation in expanding universe

论文作者

Otsuka, Hajime, Sakamura, Yutaka

论文摘要

我们研究了稳定值周围的辐射和模量振荡对$ S^2 $上压缩的6维时空的演变的影响。为了查看从5维空间到3维空间的过渡,我们开发了一种程序,以适当的近似值追求时空演化,这是有效的,直到时空的行为像4维为止。在无法在4维有效理论的背景下描述模量稳定过程,与4维有效理论方法获得的常规结果相比,模量振荡需要很长时间才能主导总能量密度。我们还发现,即使模量设置为稳定值,在某些情况下,由于额外空间$ s^2 $的压力,它们也开始振荡。

We investigate effects of the radiation and the moduli oscillation around the stabilized values on the evolution of a 6-dimensional spacetime compactified on $S^2$. In order to see the transition from the 5-dimensional space to the 3-dimensional one, we develop a procedure to pursue the spacetime evolution with appropriate approximations, which is valid until the spacetime behaves like 4-dimensional. In the case that the moduli stabilization process cannot be described in the context of the 4-dimensional effective theory, it takes quite a long time for the moduli oscillation to dominate the total energy density, in contrast to the conventional result obtained by the 4-dimensional effective theory approach. We also found that even if the moduli are set at the stabilized values, they start to oscillate due to the pressure in the extra space $S^2$ in some cases.

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