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Local quasiequivalence and adiabatic vacuum states

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Abstract

The problem of determining the physically relevant states acquires a new dimension in curved spacetime where there is, in general, no natural definition of a vacuum state. It is argued that there is a unique local quasiequivalence class of physically relevant states and it is shown how this class can be specified for the free Klein-Gordon field on a Robertson-Walker spacetime by using the concept of an adiabatic vacuum state. Any two adiabatic vacuum states of order two are locally quasiequivalent.

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Communicated by H. Araki

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Lüders, C., Roberts, J.E. Local quasiequivalence and adiabatic vacuum states. Commun.Math. Phys. 134, 29–63 (1990). https://doi.org/10.1007/BF02102088

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