Cosmic topology
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Cites
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
If we live in a 'small universe' where we have already seen right round the universe, then the universe closes up on itself in a single FLRW-like domain and no further causally connected such domains can exist.
“These are when we live in a 'small universe' where we have already seen right round the universe (Ellis & Schrieber 1986;Lachieze-Rey & Luminet 1995) for then the universe closes up on itself in a single FLRW-like domain and so no further such domains that are causally connected to us in a single connected space-time can exist.”
From Multiverses and physical cosmology (2004) · cites this paper as Lachieze-Rey & Luminet 1995
There are an infinite number of possible spatial topologies in the negative curvature case.
“First, there are an infinite number of possible spatial topologies in the negative curvature case (see, for example, Lachieze-Rey & Luminet 1995)”
From Multiverses and physical cosmology (2004) · cites this paper as Lachieze-Rey & Luminet 1995
Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Gowdy, R. H. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90384-4 · Cited by 330 · see citing works
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Multiverses and physical cosmology
Ellis, G. F. R., Kirchner, U., & Stoeger, W. R. (2004) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2004.07261.x · Cited by 82 · see citing works
Quantum cosmology and open universes
Coule, D. H., & Martin, J. (2000) · Physical Review D · doi:10.1103/physrevd.61.063501 · Cited by 60 · see citing works
- Authors
- Lachièze-Rey, M., & Luminet, J.-P.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- ORCID
- Lachièze-Rey, Marc
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 1995-03
- Volume
- 254
- Issue
- 3
- Pages
- 135-214
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W3037071270
- Cited by
- 437
- References
- 2
- Citations by year
- 2026: 6 · 2025: 16 · 2024: 16 · 2023: 7 · 2022: 15 · 2021: 11 · 2020: 11 · 2019: 5 · 2018: 8 · 2017: 10 · 2016: 13 · 2015: 8 · 2014: 8 · 2013: 13 · 2012: 15
- FWCI
- 11.74
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Reports (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- cosmic topology, simply connected spaces, universe model, quantum cosmology, cosmic microwave background, observational constraints
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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