Space-times with a stable adiabatic vacuum
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The adiabatic particle definition of Parker  has found widespread acceptance (see, e.g., ) in the semiclassical approach to quantum gravity. We give sufficient conditions on a space-time so that, using the adiabatic particle definition, exactly zero particles are created; for these space-times the adiabatic vacuum is stable. The difficulties in formulating necessary conditions are discussed.
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