Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics

نویسندگان

  • Akihiro Ishibashi
  • Robert M. Wald
چکیده

It was previously shown by one of us that in any static, nonglobally-hyperbolic, spacetime it is always possible to define a sensible dynamics for a Klein-Gordon scalar field. The prescription proposed for doing so involved viewing the spatial derivative part, A, of the wave operator as an operator on a certain L Hilbert space H and then defining a positive, self-adjoint operator on H by taking the Friedrichs extension (or other positive extension) of A. However, this analysis left open the possibility that there could be other inequivalent prescriptions of a completely different nature that might also

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تاریخ انتشار 2008