9 citations · 9 across the 1 of their papers we have counts for
5 papers
Generalised hyperbolicity: hypersurface singularities
J. A. Vickers, J. P. Wilson
Sufficient conditions for the well-posedness of the initial value problem for the scalar wave equation are obtained in space-times with hypersurface singularities
Generalised hyperbolicity in space-times with conical singularities
J. P. Wilson
It is shown that the space-time with a conical singularity, which describes a thin cosmic string, is hyperbolic in the sense that a unique H^1 solution exists to the initial value…
Generalised hyperbolicity in conical space-times
J. A. Vickers, J. P. Wilson
Solutions of the wave equation in a space-time containing a thin cosmic string are examined in the context of non-linear generalised functions. Existence and uniqueness of solution…
Distributional curvature of time-dependent cosmic strings
J P Wilson
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 stri…
Generalised Functions and Distributional Curvature of Cosmic Strings
C J S Clarke, J A Vickers, J P Wilson
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 general…