Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-11-22
Phys.Rev.D62:044035,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 8 figures, the quality of the figures are improved
Scientific paper
10.1103/PhysRevD.62.044035
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.
Dzhunushaliev Vladimir
Schmidt Hans-Juergen
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