Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations
The weak cosmic censorship conjecture posits that, generically, all singularities in General Relativity arising from regular asymptotically flat initial data should have a complete future null infinity. While this conjecture remains wide open, it has inspired many mathematical works concerning topic...
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Académie des sciences
2025-02-01
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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.284/ |
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| author | Shlapentokh-Rothman, Yakov |
| author_facet | Shlapentokh-Rothman, Yakov |
| author_sort | Shlapentokh-Rothman, Yakov |
| collection | DOAJ |
| description | The weak cosmic censorship conjecture posits that, generically, all singularities in General Relativity arising from regular asymptotically flat initial data should have a complete future null infinity. While this conjecture remains wide open, it has inspired many mathematical works concerning topics such as trapped surface formation and the construction of naked singularities. In this article we will review some of these works and attempt to emphasize their interconnectedness. |
| format | Article |
| id | doaj-art-495eeb8ad433446297c643ba22bc9306 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-495eeb8ad433446297c643ba22bc93062025-02-07T13:49:02ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-02-01353G137941010.5802/crmeca.28410.5802/crmeca.284Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equationsShlapentokh-Rothman, Yakov0https://orcid.org/0000-0001-7782-8752Department of Mathematical and Computational Sciences, University of Toronto Mississauga, 3359 Mississauga Road, Mississauga, ON, Canada; Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, ON, CanadaThe weak cosmic censorship conjecture posits that, generically, all singularities in General Relativity arising from regular asymptotically flat initial data should have a complete future null infinity. While this conjecture remains wide open, it has inspired many mathematical works concerning topics such as trapped surface formation and the construction of naked singularities. In this article we will review some of these works and attempt to emphasize their interconnectedness.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.284/Weak cosmic censorshipTrapped surfacesNaked singularities |
| spellingShingle | Shlapentokh-Rothman, Yakov Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations Comptes Rendus. Mécanique Weak cosmic censorship Trapped surfaces Naked singularities |
| title | Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations |
| title_full | Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations |
| title_fullStr | Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations |
| title_full_unstemmed | Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations |
| title_short | Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations |
| title_sort | weak cosmic censorship trapped surfaces and naked singularities for the einstein vacuum equations |
| topic | Weak cosmic censorship Trapped surfaces Naked singularities |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.284/ |
| work_keys_str_mv | AT shlapentokhrothmanyakov weakcosmiccensorshiptrappedsurfacesandnakedsingularitiesfortheeinsteinvacuumequations |