2020/04/22 by Paolo Creminelli, Creminelli, Paolo, Or Hershkovits +5 · 2 citations
Mathematics · Physics and Astronomy · #53C44 (Primary) 53C50 (Secondary) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #astro-ph.CO #gr-qc #hep-th #math.DG #msc:53C44 #msc:53C50
paper · pdf · doi:10.48550/arxiv.2004.10754
42 pages, 3 figures
arxiv created 2020/04/22 · openalex publication_date 2020/04/22 · arxiv updated 2020/04/24 · openalex created_date 2023/10/05 · openalex updated_date 2026/07/28
We study, using Mean Curvature Flow methods, 3+1 dimensional cosmologies with a positive cosmological constant, matter satisfying the dominant and the strong energy conditions, and with spatial slices that can be foliated by 2-dimensional surfaces that are the closed orbits of a symmetry group. If these surfaces have non-positive Euler characteristic (or in the case of 2-spheres, if the initial 2-spheres are large enough) and also if the initial spatial slice is expanding everywhere, then we prove that asymptotically the spacetime becomes physically indistinguishable from de Sitter space on arbitrarily large regions of spacetime. This holds true notwithstanding the presence of initial arbitrarily-large density fluctuations.