暴胀过程中牛顿常数变化的影响
Effects of Variable Newton Constant During Inflation
摘要：
本文研究了含时牛顿常数G在暴胀过程中的作用。本文给出了具有含时牛顿常数的暴胀系统中曲率扰动的形式。作为一个例子，我们考虑一个玩具模型，其中G在暴胀期间经历突然变化。通过施加适当的匹配条件，研究了G的急剧变化在曲率扰动功率谱上的印记。我们表明，如果G增加（减少）在过渡的大尺度上的曲率扰动的幅度减少（增加）。在我们的模型中，当G突变时，曲率功率谱会出现连续的正弦调制。然而，在G的变化具有有限时间尺度的现实场景中，我们期望这些正弦调制在短尺度上被阻尼。所产生的特征可用于解释所观察到的CMB功率谱上的毛刺。这使得在暴胀期间$ΔG$的界限与在整个宇宙观测年龄期间$ΔG$的当前界限大致相同。
英文摘要：
In this paper the effects of time-dependent Newton constant G during inflation are studied. We present the formalism of curvature perturbations in an inflationary system with a time-dependent Newton constant. As an example we consider a toy model in which G undergoes a sudden change during inflation. By imposing the appropriate matching conditions the imprints of this sharp change in G on curvature perturbation power spectrum are studied. We show that if G increases (decreases) during the transition the amplitude of curvature perturbations on large scales decreases (increases). In our model with a sudden change in G a continuous sinusoidal modulations on curvature power spectrum is induced. However, in a realistic scenario in which the change in G has some finite time scale we expect these sinusoidal modulations to be damped on short scales. The generated features may be used to explain the observed glitches on CMB power spectrum. This puts a bound on $ΔG$ during inflation of roughly the same order as current bounds on $ΔG$ during the entire observed age of the universe.
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