Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold. An example
Mathematical Physics
2021-09-07 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
We describe a Lorentzian manifold that is globally hyperbolic and geodesically complete, but such that the (minimally coupled) Klein-Gordon operator with the standard domain is not essentially self-adjoint.
Keywords
Cite
@article{arxiv.1904.03691,
title = {Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold. An example},
author = {Wojciech Kamiński},
journal= {arXiv preprint arXiv:1904.03691},
year = {2021}
}
Comments
20 pages, no figures, rewritten extended version, references added