Identifying conical singularities
G. Oliveira-Neto
Source abstract
A method based upon the concept of holonomy of a metric space–time (M,g), in order to identify the presence of conical singularities in M is proposed. The validity and usefulness of this so-called holonomy method is proven by applying it to a set of four-dimensional space–times and one three-dimensional space–time. The holonomy method predictions are confirmed by the comparison with the predictions obtained after coordinate transformations which take the metrics g, to a new basis where the global properties of conical singularities are explicitly seen.
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