A homogeneous space-time model with singularities

Authors
Bromberg, S Medina, A
Citation
S. Bromberg et A. Medina, A homogeneous space-time model with singularities, J MATH PHYS, 41(12), 2000, pp. 8190-8195
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
12
Year of publication
2000
Pages
8190 - 8195
Database
ISI
SICI code
0022-2488(200012)41:12<8190:AHSMWS>2.0.ZU;2-V
Abstract
We show the existence of a left invariant pseudo-Riemannian metric on the O scillator Group of dimension four, such that this group becomes a space-tim e with singularities in the sense of Hawking and Penrose. As an application we exhibit new incomplete, nonhomeomorphic compact Lorentzian manifolds. ( C) 2000 American Institute of Physics. [S0022-2488(00)01612-1].