Particle production from signature change
Letter to the Editor
Received:
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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.
Keywords
Manifold Wave Equation Scalar Field Differential Geometry Global Solution
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References
- 1.Anderson, A., and DeWitt, B. (1986).Found. Phys.,16 91.Google Scholar
- 2.Manogue, C. A., Dray, T., and Copeland, E. (1988).Pramāna,30 279.Google Scholar
- 3.Harris, S. G., and Dray, T. (1990).Class. Quant. Grav.,7 149.Google Scholar
- 4.Horowitz, G. (1991). “Topology Change in Classical and Quantum Gravity,”Class. Quantum Grav., to appear.Google Scholar
- 5.Horowitz, G., and Steif, A. (1991). In preparation.Google Scholar
- 6.Dray, T., Manogue, C. A., Tucker, R. W. (1991). “The Effect of Signature Change on Scalar Field Propagation,” in preparation.Google Scholar
Copyright information
© Plenum Publishing Corporation 1991