General Relativity and Gravitation

, Volume 23, Issue 8, pp 967–971

Particle production from signature change

  • Tevian Dray
  • Corinne A. Manogue
  • Robin W. Tucker
Letter to the Editor

DOI: 10.1007/BF00756915

Cite this article as:
Dray, T., Manogue, C.A. & Tucker, R.W. Gen Relat Gravit (1991) 23: 967. doi:10.1007/BF00756915

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.

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Tevian Dray
    • 1
  • Corinne A. Manogue
    • 1
  • Robin W. Tucker
    • 4
  1. 1.Mathematical Sciences Research InstituteBerkeleyUSA
  2. 2.Department of MathematicsOregon State UniversityCorvallisUSA
  3. 3.Department of PhysicsOregon State UniversityCorvallisUSA
  4. 4.Department of PhysicsUniversity of LancasterBailriggUK