Metrics with distributional curvature

Details Metrics with distributional curvature Metrics with distributional curvature

1999-06-15

arxiv.org/abs/gr-qc/9906053v6

Class.Quant.Grav. 16 (1999) 4101-4109

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, Revtex, terminology changed, background material added

Scientific paper

10.1088/0264-9381/16/12/324

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: (i) Minkowski spacetime minus a wedge and (ii) a certain traveling wave metric.

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