arXiv subjects

J P Wilson

Publications and source records attributed to J P Wilson.

2 recordsLinked to original sources

arXiv1997

Distributional curvature of time-dependent cosmic strings

Colombeau's theory of generalised functions is used to calculate the contributions, at the rotation axis, to the distributional curvature for a time-dependent radiating cosmic string, and hence the mass per unit length of the string source. This mass per unit length is compared with the mass at null infinity, giving evidence for a global energy conservation law.

gr-qc↗

arXiv1996

Generalised Functions and Distributional Curvature of Cosmic Strings

A new method is presented for assigning distributional curvature, in an invariant manner, to a space-time of low differentiability, using the techniques of Colombeau's `new generalised functions'. The method is applied to show that curvature of a cone is equivalent to a delta function. The same is true under small enough perturbations.

gr-qc↗