Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
35 (1994), S. 1992-1997
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A new procedure to construct incomplete metrics on a two-torus is introduced. Relations between curvature and completeness are explored, and examples showing a wide independence among them are given. Incompleteness appears as a usual property of the Lorentzian tori, and the density of the incomplete metrics in the set of all the Lorentzian ones is discussed. This article can be seen as a partial study of compact space-times and the conformal Lorentzian moduli space Mod(T2), as claimed by Yurtsever [J. Math. Phys. 31, 3064 (1990)], and as a continuation of the authors' previous article [J. Math. Phys. 34, 3768 (1993)].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530584
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