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Stationary spacetimes and self-adjointness in Klein–Gordon theory

Finster, Felix ; Much, Albert ; Oeckl, Robert



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 ...

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