Generalised Functions and Distributional Curvature of Cosmic Strings

Details Generalised Functions and Distributional Curvature of Cosmic Strings Generalised Functions and Distributional Curvature of Cosmic Strings

1996-05-28

arxiv.org/abs/gr-qc/9605060v1

Class.Quant.Grav. 13 (1996) 2485-2498

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, plain TeX

Scientific paper

10.1088/0264-9381/13/9/013

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.

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