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Title: Physics/Cosmology - Cosmic Topology General relativity does not allow one to specify the topology of space, leaving the possibility that space is multi- rather than simply- connected. This paper reviews the mathematical properties of m
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[gr-qc/9605010] Cosmic Topology

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General Relativity and Quantum Cosmology

Title:Cosmic Topology

Authors:M. Lachieze-Rey (1), J.P.Luminet (2) ((1) CE-Saclay/Service d'Astrophysique, (2) Observatoire de Meudon/DARC)(Submitted on 6 May 1996 (v1), last revised 9 Jan 2003 (this version, v2))Abstract: General relativity does not allow one to specify the topology of space,leaving the possibility that space is multi-- rather than simply--connected. Wereview the main mathematical properties of multi--connected spaces, and thedifferent tools to classify them and to analyse their properties. Following themathematical classification, we describe the different possible muticonnectedspaces which may be used to construct universe models. We briefly discuss someimplications of multi--connectedness for quantum cosmology, and itsconsequences concerning quantum field theory in the early universe. We considerin details the properties of the cosmological models where space ismulti--connected, with emphasis towards observable effects. We then review theanalyses of observational results obtained in this context, to search for apossible signature of multi--connectedness, or to constrain the models. Theymay concern the distribution of images of cosmic objects like galaxies,clusters, quasars,..., or more global effects, mainly those concerning theCosmic Microwave Background, and the present limits resulting from them.Comments:159 pages, LaTeX format, 32 figures available on request; v2 : all postscript figures addedSubjects:General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph)Journal reference:Phys.Rept. 254 (1995) 135-214Cite as:arXiv:gr-qc/9605010v2

Submission history

From: [view email][v1] Mon, 6 May 1996 09:55:41 GMT (88kb)[v2] Thu, 9 Jan 2003 16:32:59 GMT (300kb)Which authors of this paper are endorsers?Link back to: arXiv, form interface, contact.
 

General

relativity

does

not

allow

one

to

specify

the

topology

of

space,

leaving

the

possibility

that

space

is

multi-

rather

than

simply-

connected.

This

paper

reviews

the

mathematical

properties

of

m

http://fr.arxiv.org/abs/gr-qc/9605010

Cosmic Topology 2009 January

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General relativity does not allow one to specify the topology of space, leaving the possibility that space is multi- rather than simply- connected. This paper reviews the mathematical properties of m

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