Cosmology, the big bang and the BKL conjecture
This is a review article of mathematical results in cosmology, written in honor of Yvonne Choquet-Bruhat’s 100th birthday. It starts with a brief description of some of the essential questions: strong cosmic censorship; the relation between the future asymptotics and geometrization in the vacuum set...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-01-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.277/ |
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| author | Ringström, Hans |
| author_facet | Ringström, Hans |
| author_sort | Ringström, Hans |
| collection | DOAJ |
| description | This is a review article of mathematical results in cosmology, written in honor of Yvonne Choquet-Bruhat’s 100th birthday. It starts with a brief description of some of the essential questions: strong cosmic censorship; the relation between the future asymptotics and geometrization in the vacuum setting; the cosmic no-hair conjecture; and the BKL-proposal. It then turns to results, starting with ones obtained in situations with symmetry. It continues with a review of future global non-linear stability results, stable big bang formation results, results concerning solutions to linear equations on cosmological backgrounds and numerical results. The article contains a substantial, but very incomplete, list of references to the literature. |
| format | Article |
| id | doaj-art-0c582e365b614b8aa1c26a715077dd33 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-0c582e365b614b8aa1c26a715077dd332025-02-07T13:49:01ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-01-01353G1537810.5802/crmeca.27710.5802/crmeca.277Cosmology, the big bang and the BKL conjectureRingström, Hans0https://orcid.org/0000-0001-9383-0748Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, SwedenThis is a review article of mathematical results in cosmology, written in honor of Yvonne Choquet-Bruhat’s 100th birthday. It starts with a brief description of some of the essential questions: strong cosmic censorship; the relation between the future asymptotics and geometrization in the vacuum setting; the cosmic no-hair conjecture; and the BKL-proposal. It then turns to results, starting with ones obtained in situations with symmetry. It continues with a review of future global non-linear stability results, stable big bang formation results, results concerning solutions to linear equations on cosmological backgrounds and numerical results. The article contains a substantial, but very incomplete, list of references to the literature.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.277/Global analysisGeneral relativityLorentzian geometryNonlinear evolution equationsCosmologyThe big bang and the BKL proposal |
| spellingShingle | Ringström, Hans Cosmology, the big bang and the BKL conjecture Comptes Rendus. Mécanique Global analysis General relativity Lorentzian geometry Nonlinear evolution equations Cosmology The big bang and the BKL proposal |
| title | Cosmology, the big bang and the BKL conjecture |
| title_full | Cosmology, the big bang and the BKL conjecture |
| title_fullStr | Cosmology, the big bang and the BKL conjecture |
| title_full_unstemmed | Cosmology, the big bang and the BKL conjecture |
| title_short | Cosmology, the big bang and the BKL conjecture |
| title_sort | cosmology the big bang and the bkl conjecture |
| topic | Global analysis General relativity Lorentzian geometry Nonlinear evolution equations Cosmology The big bang and the BKL proposal |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.277/ |
| work_keys_str_mv | AT ringstromhans cosmologythebigbangandthebklconjecture |