Abstract

In recent years, the large angle COBE--DMR data have been used to place constraints on the size and shape of certain topologically compact models of the universe. Here we show that this approach does not work for generic compact models. In particular, we show that compact hyperbolic models do not suffer the same loss of large angle power seen in flat or spherical models. This follows from applying a topological theorem to show that generic hyperbolic three manifolds support long wavelength fluctuations, and by taking into account the dominant role played by the integrated Sachs-Wolfe effect in a hyperbolic universe.

Keywords

UniversePhysicsTheoretical physicsShape of the universeWork (physics)GeometryMathematicsCosmologyAstrophysicsDark energyQuantum mechanics

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Related Publications

A small universe after all?

Neil J. Cornish , David N. Spergel

The cosmic microwave background radiation allows us to measure both the geometry and topology of the universe. It has been argued that the COBE-DMR data already rule out models ...

2000 Physical review. D. Particles, fields... 22 citations

Publication Info

Year
1998
Type
article
Volume
57
Issue
10
Pages
5982-5996
Citations
57
Access
Closed

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Neil J. Cornish, David N. Spergel, Glenn D. Starkman (1998). Can COBE see the shape of the universe?. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields , 57 (10) , 5982-5996. https://doi.org/10.1103/physrevd.57.5982

Identifiers

DOI
10.1103/physrevd.57.5982