Finster, Felix and Much, Albert and Oeckl, Robert (2020) Stationary spacetimes and self-adjointness in Klein-Gordon theory. JOURNAL OF GEOMETRY AND PHYSICS, 148: 103561. ISSN 0393-0440, 1879-1662
Full text not available from this repository. (Request a copy)Abstract
We consider the problem of essential self-adjointness of the spatial part of the Klein-Gordon operator in stationary spacetimes. This operator is shown to be a Laplace-Beltrami type operator plus a potential. In globally hyperbolic spacetimes, essential self-adjointness is proven assuming smoothness of the metric components and semi-boundedness of the potential. This extends a recent result for static spacetimes to the stationary case. Furthermore, we generalize the results to certain non-globally hyperbolic spacetimes. (C) 2019 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GLOBAL HYPERBOLICITY; DYNAMICS; QFT; Globally hyperbolic spacetimes; Spectral Theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2021 07:46 |
| Last Modified: | 31 Mar 2021 07:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45270 |
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