Global hyperbolicity and self-adjointness
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.
Authors
- Kyriakos Papadopoulos (ORCID: https://orcid.org/0000-0003-1042-6016)
- Albert Much (ORCID: https://orcid.org/0000-0002-2648-2058)
- Markus B. Fröb (ORCID: https://orcid.org/0000-0001-6615-9901)
Institutions
- Kuwait University (KW)
- Leipzig University (DE)
Publication Details
- Journal
- Journal of Geometry and Physics
- Published
- 2025-04-24
- DOI
- https://doi.org/10.1016/j.geomphys.2025.105505
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Kuwait University