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Escher in the Sky

2015/03/23 by Renata Kallosh, Рената Каллош, Andrei Linde · 1 voice · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1016/j.crhy.2015.07.004

11 pages, 12 figures, Introductory part is extended, references added

arxiv created 2015/05/05 · openalex publication_date 2015/08/25 · arxiv updated 2016/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03

Abstract

The cosmological models called α-attractors provide an excellent fit to the latest observational data. Their predictions ns = 1-2/N and r = 12α/N2 are very robust with respect to the modifications of the inflaton potential. An intriguing interpretation of α-attractors is based on a geometric moduli space with a boundary: a Poincare disk model of a hyperbolic geometry with the radius √(3α), beautifully represented by the Escher's picture Circle Limit IV. In such models, the amplitude of the gravitational waves is proportional to the square of the radius of the Poincare disk.

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