标题： 来自五维真空态动力学叶层的超级指数膨胀 显示英文标题

标题： Super exponential inflation from a dynamical foliation of a 5D vacuum state

摘要： 我们从一个5维黎曼平坦的规范度规引入超指数膨胀（$\omega < -1$），并在其上进行动力学分割。所得的度规描述了早期宇宙的一种超加速膨胀，即超指数膨胀，在非常大的时间尺度上趋于渐近de Sitter（以真空为主导）膨胀。分析了标量场涨落。这里得到的重要结果是，能量密度涨落的谱指数不是尺度不变的，并且对于宇宙尺度变为$n_s(k<k_*) \simeq 1$。然而，对于天体物理尺度，这个谱变为负值$n_s(k>k_*) <0 $。 显示英文摘要

摘要： We introduce super exponential inflation ($\omega < -1$) from a 5D Riemann-flat canonical metric on which we make a dynamical foliation. The resulting metric describes a super accelerated expansion for the early universe well-known as super exponential inflation that, for very large times, tends to an asymptotic de Sitter (vacuum dominated) expansion. The scalar field fluctuations are analyzed. The important result here obtained is that the spectral index for energy density fluctuations is not scale invariant, and for cosmological scales becomes $n_s(k<k_*) \simeq 1$. However, for astrophysical scales this spectrum changes to negative values $n_s(k>k_*) <0 $.