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Analytic results for slow-roll curved-space inflation and exponential potentials

2026-06-15 · arXiv: 2606.16906

One-line summary

A solar energy research paper on Analytic results for slow-roll curved-space inflation and exponential potentials.

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Chinese explanation / 中文解读

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Original abstract

We derive analytic templates for the scalar and tensor primordial power spectra describing cosmologies that transition from kinetic dominance to slow-roll inflation in the presence of spatial curvature. Our results extend recent works in the literature, allowing us, in particular, to recover the scalar and tensor tilts analytically. We revisit the case of curvature-assisted single-exponential models in light of this framework. In the case of an open universe, the phase space of such models naturally includes cosmologies that start out in a kinetic-dominance regime followed by a parametrically controlled quasi-de Sitter phase. However, they do not fit in the framework of the templates, as their second Hubble slow-roll parameter remains of order one in the quasi-de Sitter regime.

5.0Engineering value
7.0Research novelty
4.0Business relevance

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