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Particle production from signature change

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Abstract

We consider the (massless) scalar field on 2-dimensional manifolds whose metric changes signature and which admit a spacelike isometry. Choosing the wave equation so that there will be a conserved Klein-Gordon product implicitly determines the junction conditions one needs to impose in order to obtain global solutions. The resulting mix of positive and negative frequencies produced by the presence of Euclidean regions depends only on the total width of the regions, and not on the detailed form of the metric.

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References

  1. Anderson, A., and DeWitt, B. (1986).Found. Phys.,16 91.

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  6. Dray, T., Manogue, C. A., Tucker, R. W. (1991). “The Effect of Signature Change on Scalar Field Propagation,” in preparation.

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Author notes

  1. Tevian Dray

    Present address: Department of Mathematics, Oregon State University, 97331, Corvallis, Oregon, USA

  2. Corinne A. Manogue

    Present address: Department of Physics, Oregon State University, 97331, Corvallis, Oregon, USA

Authors and Affiliations

  1. Mathematical Sciences Research Institute, 1000 Centennial Drive, 94720, Berkeley, California, USA

    Tevian Dray & Corinne A. Manogue

  2. Department of Physics, University of Lancaster, LA1 4YB, Bailrigg, Lanes, UK

    Robin W. Tucker

Authors
  1. Tevian Dray
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  2. Corinne A. Manogue
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  3. Robin W. Tucker
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Additional information

This essay received honorable mention in the 1991 competition of the Gravity Research Foundation.

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Dray, T., Manogue, C.A. & Tucker, R.W. Particle production from signature change. Gen Relat Gravit 23, 967–971 (1991). https://doi.org/10.1007/BF00756915

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  • DOI: https://doi.org/10.1007/BF00756915

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