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arXiv · gr-qc/9502016

Topology Change and the Propagation of Massless Fields

Jonathan Gratus·Robin W Tucker
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Abstract

We analyse the massless wave equation on a class of two dimensional manifolds consisting of an arbitrary number of topological cylinders connected to one or more topological spheres. Such manifolds are endowed with a degenerate (non-globally hyperbolic) metric. Attention is drawn to the topological constraints on solutions describing monochromatic modes on both compact and non-compact manifolds. Energy and momentum currents are constructed and a new global sum rule discussed. The results offer a rigorous background for the formulation of a field theory of topologically induced particle production.

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Jonathan Gratus, Robin W Tucker. 1995-02-09. Topology Change and the Propagation of Massless Fields. https://doi.org/10.1063/1.531035

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