论文标题
在辐射中模量稳定期间的时空演变主导的ERA超出4D有效理论
Spacetime evolution during moduli stabilization in radiation dominated era beyond 4D effective theory
论文作者
论文摘要
我们研究了在模量稳定过程中背景时空的时间演变，该过程假定在辐射主导的时代发生。该设置基本上是Salam-Sezgin模型，但我们为DILATON添加了一个潜在项，以便完全稳定模量。我们在数值上求解了高维背景方程，包括在4D有效理论中无法描述稳定过程的情况。与常规的4D有效理论分析相反，我们发现，当稳定的质量尺度大于紧凑型量表时，对总能量密度的辐射贡献远远不算比稳定时间尺度更长。结果，非紧凑型3D空间的扩展比占主导地位的宇宙慢。我们还发现了辐射$ W _ {\ rm rad} $的状态方程，长期以来仍然要小于1/3，这表明即使模量稳定后，辐射仍然感觉到额外的尺寸也有一段时间。
We investigate the time evolution of the background spacetime during the moduli stabilization process, which is assumed to occur in the radiation dominated era. The setup is basically the Salam-Sezgin model, but we add a potential term for the dilaton in order to stabilize the moduli completely. We numerically solve the higher-dimensional background field equations, including a case that the stabilization process cannot be described within the 4D effective theory. In contrast to the conventional 4D effective theory analysis, we find that when the mass scale of the stabilization is larger than the compactification scale, the radiation contribution to the total energy density remains to be non-negligible for a much longer time than the stabilization time scale. As a result, the non-compact 3D space expands slower than the matter dominated universe. We also find the equation of state for the radiation $w_{\rm rad}$ remains to be smaller than 1/3 for a long time, which indicates that the radiation still feels the extra dimensions for a while even after the moduli are stabilized.
