Clarke, C.J.S., Vickers, J.A. and Wilson, J.P.
Generalised functions and distributional curvature of cosmic strings
Classical and Quantum Gravity, 13, (9), . (doi:10.1088/0264-9381/13/9/013).
Full text not available from this repository.
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.
Actions (login required)