Research Articles

General Relativity and Gravitation

, Volume 16, Issue 5, pp 453-458

First online:

Space-times with a stable adiabatic vacuum

  • Tevian DrayAffiliated withFreie Universität Berlin, FB Physik, WE 4A
  • , Jürgen RennAffiliated withFreie Universität Berlin, FB Physik, WE 4A

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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.