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Domain with Noncompactified Extra Dimensions in the Multidimensional Universe with Compactified Extra Dimensions

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Abstract

It is argued that in our Universe with compactified extra dimensions (ED) also domains exist with noncompactified ED. The multidimensional gravity (MD) on the principal bundle with structural group SU(3) is considered and a spherically symmetric solution in this theory is obtained. This solution is a wormhole-like object located between two null surfaces ds2 = 0 and can be considered as a domain with noncompactified ED which is sewn to a 4D spacetime with compactified ED. In some sense these solutions are dual to black holes: they represent static spherically symmetric solutions under null surfaces, whereas black holes are static spherically symmetric solutions outside the event horizon.

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Dzhunushaliev, V.D. Domain with Noncompactified Extra Dimensions in the Multidimensional Universe with Compactified Extra Dimensions. General Relativity and Gravitation 30, 1655–1661 (1998). https://doi.org/10.1023/A:1026672423614

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  • DOI: https://doi.org/10.1023/A:1026672423614

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