双场宇宙学模型与单值化定理
Two-field cosmological models and the uniformization theorem
摘要:
我们提出了一类由引力耦合到非线性西格玛模型的两场宇宙学模型,其目标空间是一个非紧的几何有限的双曲曲面,它提供了所谓的$α$ -吸引子模型的广泛推广,并且可以使用均匀化理论进行研究.我们说明了宇宙动力学在这样的模型的情况下,双曲triangle穿刺球。
英文摘要:
We propose a class of two-field cosmological models derived from gravity coupled to non-linear sigma models whose target space is a non-compact and geometrically-finite hyperbolic surface, which provide a wide generalization of so-called $α$-attractor models and can be studied using uniformization theory. We illustrate cosmological dynamics in such models for the case of the hyperbolic triply-punctured sphere.
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