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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2025-01-01
|
| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.275/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1873-7234 |