A new distributional approach to signature change

Citation
R. Mansouri et K. Nozari, A new distributional approach to signature change, GEN RELAT G, 32(2), 2000, pp. 253-269
Citations number
45
Categorie Soggetti
Physics
Journal title
GENERAL RELATIVITY AND GRAVITATION
ISSN journal
00017701 → ACNP
Volume
32
Issue
2
Year of publication
2000
Pages
253 - 269
Database
ISI
SICI code
0001-7701(200002)32:2<253:ANDATS>2.0.ZU;2-G
Abstract
Colombeau's generalized functions are used to adapt the distributional appr oach to singular hypersurfaces in general relativity with signature change. Equations governing the dynamics of a singular hypersurface are derived an d a specific non-vanishing form for the energy-momentum tensor of the singu lar hypersurface is obtained. It is shown that matching in the case of de S itter space in the Lorentzian sector is possible along the boundary with mi nimum radius but leads to the vanishing of the energy-momentum tensor of th e singular hypersurface.