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Metrics with distributional curvature

David Garfinkle

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This paper considers metrics whose curvature tensor makes sense as a distribution. A class of such metrics, the regular metrics, was defined and studied by Geroch and Traschen. Here, we generalize their definition to form a wider class: semi-regular metrics. We then examine in detail two metrics that are semi-regular but not regular: (a) Minkowski spacetime minus a wedge and (b) a certain travelling wave metric.


PACS

04.20.-q Classical general relativity

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Dates

Issue 12 (December 1999)

Received 21 June 1999, in final form 25 August 1999



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