Topology change and the propagation of massless fields

GRATUS, J and Tucker, Robin (1995) Topology change and the propagation of massless fields. Journal of Mathematical Physics, 36 (7). pp. 3353-3376. ISSN 0022-2488

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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 are analyzed herein. 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 noncompact 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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Journal Article
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Journal of Mathematical Physics
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10 Jan 2012 11:48
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21 Nov 2022 22:00