Cosmic topology. Part Ic. Limits on lens spaces from circle searches

Abstract Cosmic microwave background (CMB) temperature and polarization observations indicate that in the best-fit Λ Cold Dark Matter model of the Universe, the local geometry is consistent with at most a small amount of positive or negative curvature, i.e., |Ω K | ≪ 1. However, whether the geometry is flat ( E 3 ), positively curved ( S 3 ) or negatively curved ( H 3 ), there are many possible topologies. Among the topologies of S 3 geometry, the lens spaces L ( p , q ), where p and q ( p > 1 and 0 < q < p ) are positive integers, are quotients of the covering space of S 3 (the three-sphere) by ℤ p , the cyclic group of order p. We use the absence of any pair of circles on the CMB sky with matching patterns of temperature fluctuations to establish constraints on p and q as a function of the curvature scale that are considerably stronger than those previously asserted for most values of p and q . The smaller the value of |Ω K |, i.e., the larger the curvature radius, the larger the maximum allowed value of p . For example, if |Ω K | ≃ 0.05 then p ≤ 9, while if |Ω K | ≃ 0.02, p can be as high as 24. Future work will extend these constraints to a wider set of S 3 topologies.

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Publication Details

Journal
Journal of Cosmology and Astroparticle Physics
Published
2025-01-01
DOI
https://doi.org/10.1088/1475-7516/2025/01/004
Citations
2
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
2.31

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article

Cosmic topology. Part Ic. Limits on lens spaces from circle searches

Samanta Saha, Javier Carrón Duque, Craig J. Copi, Deyan P. Mihaylov et al.
2 citations
Journal of Cosmology and Astroparticle Physics
Cosmology and Gravitation Theories
2.31
article

Cosmic topology. Part Ic. Limits on lens spaces from circle searches

Samanta Saha, Javier Carrón Duque, Craig J. Copi, Deyan P. Mihaylov, Glenn D. Starkman, S Anselmi, Thiago S. Pereira, Arthur Kosowsky, Andrius Tamosiunas, Fernando Cornet-Gomez, Y. Akrami, Mikel Martin Barandiaran, Amirhossein Samandar, A. H. Jaffe
article en
2 citations

Abstract

Abstract Cosmic microwave background (CMB) temperature and polarization observations indicate that in the best-fit Λ Cold Dark Matter model of the Universe, the local geometry is consistent with at most a small amount of positive or negative curvature, i.e., |Ω K | ≪ 1. However, whether the geometry is flat ( E 3 ), positively curved ( S 3 ) or negatively curved ( H 3 ), there are many possible topologies. Among the topologies of S 3 geometry, the lens spaces L ( p , q ), where p and q ( p > 1 and 0 < q < p ) are positive integers, are quotients of the covering space of S 3 (the three-sphere) by ℤ p , the cyclic group of order p. We use the absence of any pair of circles on the CMB sky with matching patterns of temperature fluctuations to establish constraints on p and q as a function of the curvature scale that are considerably stronger than those previously asserted for most values of p and q . The smaller the value of |Ω K |, i.e., the larger the curvature radius, the larger the maximum allowed value of p . For example, if |Ω K | ≃ 0.05 then p ≤ 9, while if |Ω K | ≃ 0.02, p can be as high as 24. Future work will extend these constraints to a wider set of S 3 topologies.

Journal of Cosmology and Astroparticle PhysicsVol. 2025(01)
Universidade Estadual de Londrina (BR), Centre National de la Recherche Scientifique (FR), Consejo Superior de Investigaciones Científicas (ES), University of Padua (IT), University of Pittsburgh (US), Université Paris Cité (FR), Université Paris Sciences et Lettres (FR), Laboratoire Univers et Théories (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Padova (IT), Instituto de Física Teórica (ES), Imperial College London (GB), Case Western Reserve University (US), Universidad Autónoma de Madrid (ES)
U.S. Department of Energy, National Aeronautics and Space Administration, Case Western Reserve University, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Science and Technology Facilities Council, Agencia Estatal de Investigación, Spanish National Plan for Scientific and Technical Research and Innovation, European Social Fund
Openalex Percentile: Top 14%
Cosmology and Gravitation Theories
2.31
DOIOpen Access PDFOpenAlex
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