Publication: The b-completion of the Friedmann space
Loading...
Files
Full text at PDC
Publication Date
1999-01
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier science
Citations
Exportar
Abstract
We study the b-completion of the three Friedmann models of the Universe, having as models for 3-space the sphere, the Euclidean space or the hyperbolic space. We show that in the first case there is just one singularity, having the full completion as only neighborhood. In the other two cases there is one essential singularity, which is the limit of all past causal geodesics; again, it has a single neighborhood. This extends results by Bosshard [On the b-boundary of the closed Friendmann Model, Commun. Math. Phys. 46 (1976) 263-268] and Johnson [The bundle boundary in some special cases, J. Math. Phys. 18 (5) (1977) 898-902] on the closed Friedmann model. (C) 1999 Elsevier Science B.V. All rights reserved.
Description
UCM subjects
Unesco subjects
Keywords
Citation
[l] B. Bosshard, On the b-boundary of the closed Friedmann model, Commun. Math. Phys. 46 (1976)
263-268.
[2] D. Canarutto, An introduction to the geometry of singularities in general relatively, Riv. Nuovo Cimento
11 (3) (1988) l-60.
[3] C.T.J. Dodson, Spacetime edge geometry, Int. J. Theoret. Phys. 17 (6) (1978) 389-504.
[4] SW. Hawking, G.F.R. Ellis, The Large-Scale Structure of Spacetime, University Press, Cambridge, 1973.
[5] R.A. Johnson, The bundle boundary in some special cases, .I. Math. Phys. 18 (5) (1977) 898-902.
[6] M.A. Naimark, Les representations lineaires du groupe de Lorentz, Dunod, Paris, 1962.
[7] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York,
1982.
[S] B.G. Schmidt, A new definition of singular points in general relativity, Gen. Rel. Grav. 1 (3) (1971)
269-280.