Cauchy Problem for the Dirac operator on spatially non-compact spacetimes
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910624078888960 |
|---|---|
| author | Damaschke, Orville |
| author_facet | Damaschke, Orville |
| contents | Let $M$ be a globally hyperbolic manifold with complete spacelike Cauchy hypersurface $Σ$. We prove well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with complete Cauchy hypersurfaces. This result is needed as preparation in showing a Fredholmness result in the manner, provided by Bär and Strohmaier, for certain non-compact Cauchy hypersurfaces in future work. The results already have been published for a simpler setting in arxiv:2107.08532. This version is only focused on the Cauchy problem for a slightly modified setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cauchy Problem for the Dirac operator on spatially non-compact spacetimes Damaschke, Orville Differential Geometry Analysis of PDEs Let $M$ be a globally hyperbolic manifold with complete spacelike Cauchy hypersurface $Σ$. We prove well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with complete Cauchy hypersurfaces. This result is needed as preparation in showing a Fredholmness result in the manner, provided by Bär and Strohmaier, for certain non-compact Cauchy hypersurfaces in future work. The results already have been published for a simpler setting in arxiv:2107.08532. This version is only focused on the Cauchy problem for a slightly modified setting. |
| title | Cauchy Problem for the Dirac operator on spatially non-compact spacetimes |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2409.17344 |