Two papers discussing the influence on the cosmic microwave background
of a hyperbolic universe with the topology of the tetrahedral
fundamental cell T8:
R. Aurich, The Fluctuations of the Cosmic Microwave
Background for a Compact Hyperbolic Universe
Astrophysical Journal 524 (1999) 497-503,
Ulm report ULM-TP/99-1
(March 1999, revised version April 1999)
R. Aurich and F. Steiner, The Cosmic Microwave Background for a Nearly Flat
Compact Hyperbolic Universe,
Monthly Notices of the Royal Astronomical Society
323 (2001) 1016-1024,
Ulm report ULM-TP/00-3
(July 2000, revised version October 2000)
The fluctuations of the cosmic microwave background (CMB)
are computed by starting with initial scalar metric perturbations
possessing a Harrison-Zel'dovitch spectrum.
The calculations are carried out using the eigenmodes of the
fundamental cell of the assumed compact hyperbolic Universe.
(For animations of some eigenmodes, see
here.)
For details of the model, see the above papers.
Below the CMB is shown for a resolution of 10 degrees for
different densities of Omega, but for the same location of the
observer within the tetrahedral cell and for the same
initial perturbations.