Thurston's geometrization conjecture and cosmological models (Q2724816)
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scientific article; zbMATH DE number 1618251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Thurston's geometrization conjecture and cosmological models |
scientific article; zbMATH DE number 1618251 |
Statements
Thurston's geometrization conjecture and cosmological models (English)
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18 May 2002
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spatially compact inhomogeneous spacetimes
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Thurston's geometrization conjecture
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Killing vector fields
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Teichmüller deformation
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0.8824583
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0.8737301
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0.87238264
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0.8712371
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0.8639605
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0.86126494
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0.8576188
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In order to understand the topology of the universe, we must study in detail the possible topologies of its spatial ``component''. In the compact case, this problem is connected to the classification of compact 3-manifolds, dominated by Thurston's conjecture. Following this idea, the authors construct a class of spatially compact spacetimes, with locally homogeneous ``bricks'' glued by embedded 2-spheres. The dynamics of two specific models are discussed.
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