General Relativity and Gravitation

, Volume 16, Issue 5, pp 453–458 | Cite as

Space-times with a stable adiabatic vacuum

  • Tevian Dray
  • Jürgen Renn
Research Articles
  • 58 Downloads

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. 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.Google Scholar
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    Birrell, N. D. and Davies, P. C. W. (1982).Quantum Fields in Curved Space (Cambridge University Press, Cambridge).Google Scholar
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    Dray, T. and Renn, J. The normal-form (in)dependence of the adiabatic particle definitions,Gen. Rel. Grav. 16, 324.Google Scholar
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    Renn, J. (1982). Diplomarbeit (in German), Freie Universität Berlin (unpublished).Google Scholar
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    Chakraborty, B. (1973).J. Math. Phys.,14, 188.Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • Tevian Dray
    • 1
  • Jürgen Renn
    • 1
  1. 1.Freie Universität Berlin, FB Physik, WE 4ABerlin 33Federal Republic of Germany

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