Abstract
The adiabatic particle definition of Parker [1] has found widespread acceptance (see, e.g., [2]) 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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Dray, T. and Renn, J. The normal-form (in)dependence of the adiabatic particle definitions,Gen. Rel. Grav. 16, 324.
Renn, J. (1982). Diplomarbeit (in German), Freie Universität Berlin (unpublished).
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This essay received an honorable mention from the Gravity Research Foundation for the year 1983-Ed.
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Dray, T., Renn, J. Space-times with a stable adiabatic vacuum. Gen Relat Gravit 16, 453–458 (1984). https://doi.org/10.1007/BF00762337
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DOI: https://doi.org/10.1007/BF00762337