Measuring topology of the space - exploring the limit of the observable universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Cosmic Microwave Background

Scientific paper

The Big-Bang theory, the standard theory of the modern cosmology demands that the spatial section be locally homogeneous and isotropic. However, the general theory of relativity cannot specify the global topology of the spatial section, i.e. the global property of the spatial geometry. If our universe has a spatial section with non-trivial topology which is globally inhomogeneous and anisotropic although locally homogeneous and isotropic, then we may be able to detect the imprint by observation, in principle. In this article, we review the recent progress on how we can measure the topology of the spatial section using the cosmic microwave background anisotropy.

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