The Einstein constraints and differential forms
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918420048510976 |
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| author | Okolow, Andrzej Szymankiewicz, Jakub |
| author_facet | Okolow, Andrzej Szymankiewicz, Jakub |
| contents | We express the vacuum Einstein constraints in terms of differential forms - the forms include one-forms constituting an orthonormal coframe of the spatial metric. We show that if the metric is real-analytic, then the constraints can be always expressed locally as a system of first order PDE's - this system is obtained by a special choice of the coframe, which reduces to zero all second order terms in the scalar constraint. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19129 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Einstein constraints and differential forms Okolow, Andrzej Szymankiewicz, Jakub General Relativity and Quantum Cosmology We express the vacuum Einstein constraints in terms of differential forms - the forms include one-forms constituting an orthonormal coframe of the spatial metric. We show that if the metric is real-analytic, then the constraints can be always expressed locally as a system of first order PDE's - this system is obtained by a special choice of the coframe, which reduces to zero all second order terms in the scalar constraint. |
| title | The Einstein constraints and differential forms |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.19129 |