Stationary Spacetimes and Self-Adjointness in Klein-Gordon Theory

@article{Finster2019StationarySA,
title={Stationary Spacetimes and Self-Adjointness in Klein-Gordon Theory},
author={F. Finster and A. Much and R. Oeckl},
journal={arXiv: Mathematical Physics},
year={2019}
}

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 selfadjointness 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… CONTINUE READING