Gluing for the Einstein constraint equations
Initial data for the Einstein equations must satisfy a system of nonlinear partial differential equations, the Einstein constraint equations. Constructing interesting solutions of the constraint equations can then lead to interesting spacetime evolutions. Over the past twenty-five years, various glu...
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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.275/ |
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| _version_ | 1825205928782200832 |
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| author | Corvino, Justin |
| author_facet | Corvino, Justin |
| author_sort | Corvino, Justin |
| collection | DOAJ |
| description | Initial data for the Einstein equations must satisfy a system of nonlinear partial differential equations, the Einstein constraint equations. Constructing interesting solutions of the constraint equations can then lead to interesting spacetime evolutions. Over the past twenty-five years, various gluing methods to construct solutions of the constraints have shed light on some long-standing questions. In this article we survey some of the methods and results achieved to date. |
| format | Article |
| id | doaj-art-64ee3fde4ab144caae7178d4e9149a14 |
| 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-64ee3fde4ab144caae7178d4e9149a142025-02-07T13:49:01ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-01-01353G1295210.5802/crmeca.27510.5802/crmeca.275Gluing for the Einstein constraint equationsCorvino, Justin0https://orcid.org/0009-0001-6914-1253Lafayette College, Department of Mathematics, Easton, PA 18042, USAInitial data for the Einstein equations must satisfy a system of nonlinear partial differential equations, the Einstein constraint equations. Constructing interesting solutions of the constraint equations can then lead to interesting spacetime evolutions. Over the past twenty-five years, various gluing methods to construct solutions of the constraints have shed light on some long-standing questions. In this article we survey some of the methods and results achieved to date.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.275/Einstein constraint equationsGeometric analysisGluing constructions |
| spellingShingle | Corvino, Justin Gluing for the Einstein constraint equations Comptes Rendus. Mécanique Einstein constraint equations Geometric analysis Gluing constructions |
| title | Gluing for the Einstein constraint equations |
| title_full | Gluing for the Einstein constraint equations |
| title_fullStr | Gluing for the Einstein constraint equations |
| title_full_unstemmed | Gluing for the Einstein constraint equations |
| title_short | Gluing for the Einstein constraint equations |
| title_sort | gluing for the einstein constraint equations |
| topic | Einstein constraint equations Geometric analysis Gluing constructions |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.275/ |
| work_keys_str_mv | AT corvinojustin gluingfortheeinsteinconstraintequations |