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Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions

V. Dzhunushaliev·H. -J. Schmidt
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Abstract

Vacuum solutions for multidimensional gravity on the principal bundle with the SU(2) structural group as the extra dimensions are found and discussed. This generalizes the results of Ref. \cite{vds3} from U(1) to the SU(2) gauge group. The spherically symmetric solution with the off-diagonal components of the multidimensional metric is obtained. It is shown that two types of solutions exist: the first has a wormhole-like 4D base, the second is a gravitational flux tube with two color and electric charges. The solution depends only on two parameters: the values of the electric and magnetic fields at the origin. In the plane of these parameters there exists a curve separating the regions with different types of solutions. An analogy with the 5D solutions is discussed.

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V. Dzhunushaliev, H. -J. Schmidt. 2000-02-04. Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions. https://doi.org/10.1103/physrevd.62.044035

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