COBE constraints on a compact toroidal low-density universe

@article{Inoue2000COBECO,
  title={COBE constraints on a compact toroidal low-density universe},
  author={Kaiki Taro Inoue},
  journal={Classical and Quantum Gravity},
  year={2000},
  volume={18},
  pages={1967-1978}
}
  • K. T. Inoue
  • Published 24 November 2000
  • Physics
  • Classical and Quantum Gravity
In this paper, the cosmic microwave background (CMB) anisotropy in a multiply connected compact flat 3-torus model with the cosmological constant is investigated. Using the COBE-DMR four-year data, a full Bayesian analysis revealed that the constraint on the topology of the flat 3-torus model with low matter density is less stringent. As in compact hyperbolic models, the large-angle temperature fluctuations can be produced as the gravitational potential decays at the Λ-dominant epoch well after… 

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References

SHOWING 1-10 OF 47 REFERENCES
Microwave background anisotropy in a toroidal universe.
TLDR
Large-scale cosmic microwave background temperature fluctuations are calculated for a universe with the topology of a 3-torus and it is found that a topologically ``small'' universe is no longer an interesting cosmological model.
Constraints on the topology of the universe from the 2-year COBE data
The cosmic microwave background (CMB) is a unique probe of cosmological parameters and conditions. There is a connection between anisotropy in the CMB and the topology of the Universe. Adopting a
Temperature correlations in a compact hyperbolic universe
The effect of a non-trivial topology on the temperature correlations of the cosmic microwave background (CMB) in a small compact hyperbolic universe with volume comparable to the cube of the
Computing CMB anisotropy in compact hyperbolic spaces
The measurements of CMB anisotropy have opened up a window for probing the global topology of the universe on length scales comparable to and beyond the Hubble radius. For compact topologies, the two
The Fluctuations of the Cosmic Microwave Background for a Compact Hyperbolic Universe
The fluctuations of the cosmic microwave background (CMB) are investigated for a small, open universe, i.e., one that is periodically composed of a small fundamental cell. The evolution of initial
A Measurement of Omega from the North American Test Flight of Boomerang.
TLDR
The angular power spectrum of the cosmic microwave background, measured during the North American test flight of the Boomerang experiment, is used to constrain the geometry of the universe and new constraints on the fractional matter density and the cosmological constant are obtained.
New Restrictions on Spatial Topology of the Universe from Microwave Background Temperature Fluctuations
If the Universe has the topology of a 3-torus ($T^3$), then it follows from recent data on large-scale temperature fluctuations $\Delta T/T$ of the cosmic microwave background that either the minimal
The physics of microwave background anisotropies
The residual radiation from the Big Bang is observable as the cosmic microwave background–a near-uniform sea of photons with an average temperature of 2.7 K. Small variations in the temperature of
Computation of eigenmodes on a compact hyperbolic 3-space
Measurements of cosmic microwave background (CMB) anisotropy are ideal experiments for discovering the non-trivial global topology of the universe. To evaluate the CMB anisotropy in
Geometric Gaussianity and non-Gaussianity in the cosmic microwave background
In this paper, the Gaussianity of eigenmodes and non-Gaussianity in the cosmic microwave background (CMB) temperature fluctuations in the two smallest compact hyperbolic (CH) models are investigated.
...
...