With what topology could the universe be created?

Mathematics – Logic

Scientific paper

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Universe: Models, Universe: Topology, Universe: Evolution

Scientific paper

The topological and geometrical properties of a self-created universe with cosmological constant are considered in the framework of Hawking´s quantum cosmology. The probabilities for creation of the universe with different topologies (including a torus, sphere, hyperbolic space) are calculated; for an inflationary universe these topologies are found to be equally probable. The probability of a quantum change of the topology during the evolution of the universe is calculated for a concrete model.

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