论文标题
早期宇宙学中的弹跳和稳定性通过异常引起的校正
Bounce and stability in the early cosmology with anomaly-induced corrections
论文作者
论文摘要
基于异常引起的重力作用，宇宙的极快指数扩展对于通货膨胀模型的稳定版本是典型的。在过渡到不稳定版本和Starobinsky通货膨胀的开始之前，指数$ e $ folds的总数可能非常大。因此，稳定的指数扩展可以看作是通货膨胀前半经典宇宙学解。我们探索在反弹后，在宇宙收缩之后是否可以跟随这个稳定的阶段。为了扩展对弹跳的先前考虑，我们在具有非零宇宙常数和背景辐射的存在的模型中探索了稳定的膨胀和弹跳溶液。分析的关键部分涉及对哈勃参数的小扰动的稳定性。结果表明，弹跳区域的变化是可能的，但在收缩阶段不足以遥远的过去。
An extremely fast exponential expansion of the Universe is typical for the stable version of the inflationary model, based on the anomaly-induced action of gravity. The total amount of exponential $e$-folds could be very large, before the transition to the unstable version and the beginning of the Starobinsky inflation. Thus, the stable exponential expansion can be seen as a pre-inflationary semiclassical cosmological solution. We explore whether this stable phase could follow after the bounce, subsequent to the contraction of the Universe. Extending the previous consideration of the bounce, we explore both stable expansion and the bounce solutions in the models with non-zero cosmological constant and the presence of background radiation. The critical part of the analysis concerns stability for small perturbations of the Hubble parameter. It is shown that the stability is possible for the variations in the bounce region, but not in the sufficiently distant past in the contraction phase.
