GENERALIZED-FUNCTIONS AND DISTRIBUTIONAL CURVATURE OF COSMIC STRINGS

Authors
CLARKE CJS VICKERS JA WILSON JP
Citation
Cjs. Clarke et al., GENERALIZED-FUNCTIONS AND DISTRIBUTIONAL CURVATURE OF COSMIC STRINGS, Classical and quantum gravity, 13(9), 1996, pp. 2485-2498
Citations number
17
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
13
Issue
9
Year of publication
1996
Pages
2485 - 2498
Database
ISI
SICI code
0264-9381(1996)13:9<2485:GADCOC>2.0.ZU;2-U
Abstract
A new method is presented for assigning distributional curvature, in a n 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 equival ent to a delta function. The same is true under small enough perturbat ions.