Generalized functions and distributional curvature of cosmic strings

May, 1996
11 pages
Published in:
  • Class.Quant.Grav. 13 (1996) 2485-2498
e-Print:

Citations per year

1996200320102017202402468
Abstract: (arXiv)
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.
  • astrophysics: string
  • space-time: geometry
  • perturbation
  • general relativity
  • mathematical methods