Topology Change and the Propagation of Massless Fields
General Relativity and Quantum Cosmology
2016-08-31 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/9502016,
title = {Topology Change and the Propagation of Massless Fields},
author = {Jonathan Gratus and Robin W Tucker},
journal= {arXiv preprint arXiv:gr-qc/9502016},
year = {2016}
}
Comments
To appear in J Math Phys. 33 Pages, plain TeX, 5 Postscript figures.