Generalized functions and distributional curvature of cosmic strings
C J S Clarke; J A Vickers; J P Wilson; C J S Clarke; Department of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK; J A Vickers; Department of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK; J P Wilson; Department of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK
Журнал:
Classical and Quantum Gravity
Дата:
1996-09-01
Аннотация:
A new method is presented for assigning distributional curvature, in an invariant manner, to a spacetime of low differentiability, using the techniques of Colombeau's `new generalized functions'. The method is applied to show that the scalar curvature density of a cone is equivalent to a delta function. The same is true under small enough perturbations.
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