Cosmic microwave anisotropies in an inhomogeneous compact flat universe

Abstract

The anisotropies of the cosmic microwave background (CMB) are computed for the half-turn space E_2 which represents a compact flat model of the Universe, i.e. one with finite volume. This model is inhomogeneous in the sense that the statistical properties of the CMB depend on the position of the observer within the fundamental cell. It is shown that the half-turn space describes the observed CMB anisotropies on large scales better than the concordance model with infinite volume. For most observer positions it matches the temperature correlation function even slightly better than the well studied 3-torus topology.

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• The Topology and Size of the Universe from the Cosmic Microwave Background
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• Ellipticity of Structures in CMB Sky Maps
• On topological restrictions of the spacetime in cosmology
• Orbifold Line Topology and the Cosmic Microwave Background
• Searching for Stringy Topologies in the Cosmic Microwave Background
• A coordinate-independent technique for detecting globally inhomogeneous flat topologies
• Betti Functionals as a Probe for Cosmic Topology