Conical Space-times: a Distributional Theory Approach

Abstract

We consider the problem of calculating the Gaussian curvature of a conical 2-dimensional space by using concepts and techniques of distribution theory. We apply the results obtained to calculate the Riemannian curvature of the 4-dimensional conical space-time. We show that the method can be extended for calculating the curvature of a special class of more general space-times with conical singularity.

20 pages, RevTex, no figures

References in corpus (2)

• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Generalised Functions and Distributional Curvature of Cosmic Strings

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