Topology Change and the Propagation of Massless Fields

Details Topology Change and the Propagation of Massless Fields Topology Change and the Propagation of Massless Fields

1995-02-07

arxiv.org/abs/gr-qc/9502016v2

J.Math.Phys. 36 (1995) 3353-3376

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in J Math Phys. 33 Pages, plain TeX, 5 Postscript figures.

Scientific paper

10.1063/1.531035

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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