5 research outputs found
Can COBE see the shape of the universe?
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.Comment: 16 Pages, 5 Figures. Version published in Phys. Rev.