High-frequency solutions to the Einstein equations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909166731264000 |
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| author | Huneau, Cécile Luk, Jonathan |
| author_facet | Huneau, Cécile Luk, Jonathan |
| contents | We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-frequency solutions to the Einstein equations Huneau, Cécile Luk, Jonathan General Relativity and Quantum Cosmology Analysis of PDEs We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two conjectures of Burnett, which attempt to give an exact characterization of high-frequency limits of vacuum spacetimes as solutions to the Einstein-massless Vlasov system. Some open problems and future directions are discussed. |
| title | High-frequency solutions to the Einstein equations |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs |
| url | https://arxiv.org/abs/2404.07659 |