Universidad Complutense de Madrid
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On the b-completion of certain quotient-spaces



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Amores Lázaro, Ángel Miguel y Gutiérrez, M. (1988) On the b-completion of certain quotient-spaces. Letters in Mathematical Physics, 15 (4). pp. 341-343. ISSN 0377-9017

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0393044098000382

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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) 263-2681 and Johnson [The bundle boundary in some
special cases, J. Math. Phys. 18 (5) (1977) 898-9021 on the closed Friedmann model.

Tipo de documento:Artículo
Palabras clave:Physics, Mathematical
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:14745
Depositado:17 Abr 2012 11:05
Última Modificación:12 Dic 2018 15:13

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