Global Hyperbolicity and Self-adjointness
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918021788860416 |
|---|---|
| author | Fröb, Markus B. Much, Albert Papadopoulos, Kyriakos |
| author_facet | Fröb, Markus B. Much, Albert Papadopoulos, Kyriakos |
| contents | We show that the spatial part of the Klein-Gordon operator is an essentially self-adjoint operator on the Cauchy surfaces of various classes of spacetimes. Our proof employs the intricate connection between global hyperbolicity and geodesically complete Riemannian surfaces, and concludes by proving global hyperbolicity of the spacetimes under study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Hyperbolicity and Self-adjointness Fröb, Markus B. Much, Albert Papadopoulos, Kyriakos General Relativity and Quantum Cosmology Mathematical Physics We show that the spatial part of the Klein-Gordon operator is an essentially self-adjoint operator on the Cauchy surfaces of various classes of spacetimes. Our proof employs the intricate connection between global hyperbolicity and geodesically complete Riemannian surfaces, and concludes by proving global hyperbolicity of the spacetimes under study. |
| title | Global Hyperbolicity and Self-adjointness |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2410.04879 |