Signature of Topology of the Universe

Vipin Kumar Sharma


The main motivation to write this article is to relate the cosmology and topology in order to
gain some insight into the topological signatures of the Standard model of Universe. The
theory of General Relativity as given by Einstein only describes the local geometry of space
but not global, hence leaves the possibility to explore the topology of the space (simply- or
multi-connected). By expressing the cosmological model in trms of energy density parameters,
we attempt to understand the geometry of spacetime. This is followed by a discussion on
the possibility to detect the signatures of topology of space imprinted on the Cosmic
Microwave Background (CMB).


Topology, General Relativity, cosmology

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