作为模空间展开的非均匀后暴胀Lambda-CDM宇宙学
Inhomogeneous post-inflationary Lambda-CDM cosmology as a moduli space expansion
摘要：
我们将大尺度晚期宇宙模型化为由宇宙学常数和完美尘埃流体驱动的Lambda-CDM宇宙学。我们的目标是找到新的解决方案，在物质和Lambda时代符合暴胀的初始条件，即在遥远的过去，在物质时代的宇宙学倾向于一个平坦的FLRW解决方案。我们确定的模量自由度，参数化的平坦的拉姆达尘埃FLRW的解决方案，然后促进这些模量缓慢变化的空间坐标的函数，并展示了如何解决爱因斯坦方程的同向梯度扩展，控制的宇宙学常数长度尺度。我们的初始条件确保了近似仍然处于物质时代的遥远过去和λ支配的遥远未来的控制之下。该解决方案是完全非微扰的度量变形的振幅，我们明确地构建它的四阶导数。一个未来以λ为主导的一般λ尘埃宇宙的特征是在未来共形边界上定义了一个3度规和一个应力张量（具有正迹）。具有暴胀初始条件的新宇宙学的特征仅在于边界3度规，应力张量完全根据该度规局部确定。
英文摘要：
We model the large scale late time universe as a Lambda-CDM cosmology driven by cosmological constant and perfect dust fluid. Our aim is to find new solutions in the matter and Lambda epoch consistent with inflationary initial conditions, namely that to the far past in the matter era the cosmology tends to a flat FLRW solution. We identify the moduli degrees of freedom that parametrize the flat Lambda-dust FLRW solution and then promote these moduli to slowly varying functions of the spatial coordinates and show how to solve the Einstein equations in a comoving gradient expansion, controlled by the cosmological constant length scale. Our initial conditions ensure that the approximation remains under control to the far past of the matter era, and to the far future of Lambda domination. The solution is fully non-perturbative in the amplitude of the metric deformation, and we explicitly construct it to fourth order in derivatives. A general Lambda-dust universe dominated by Lambda in the future is characterized by a 3-metric and a stress tensor (with positive trace) defined on the future conformal boundary. The new cosmologies with inflationary initial conditions are characterized only by the boundary 3-metric, the stress tensor being locally determined entirely in terms of that metric.
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