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Space-times with a stable adiabatic vacuum

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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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References

  1. Parker, L. (1969).Phys. Rev.,183, 1057; Parker, L. (1966) Ph.D. thesis, Harvard University (University Microfilm Library Service, Xerox Corp., Ann Arbor, Michigan, No. DCJ73-31244); Parker, L. and Fulling, S. A. (1974).Phys. Rev. D,9, 341.

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  2. Birrell, N. D. and Davies, P. C. W. (1982).Quantum Fields in Curved Space (Cambridge University Press, Cambridge).

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  3. Dray, T. and Renn, J. The normal-form (in)dependence of the adiabatic particle definitions,Gen. Rel. Grav. 16, 324.

  4. Renn, J. (1982). Diplomarbeit (in German), Freie Universität Berlin (unpublished).

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Author notes

  1. Tevian Dray (NATO Postdoctoral Fellow)

    Present address: Institut voor Theoretische Fysica, Postbus 80006, 3508 TA, Utrecht, The Netherlands

Authors and Affiliations

  1. Freie Universität Berlin, FB Physik, WE 4A, Arnimallee 14, 1000, Berlin 33, Federal Republic of Germany

    Tevian Dray (NATO Postdoctoral Fellow) & Jürgen Renn

Authors
  1. Tevian Dray
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  2. Jürgen Renn
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Additional information

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

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