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}
}
  • F. Finster, A. Much, R. Oeckl
  • Published 2019
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • 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
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