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HARMONIC MAPS AND MAGNETOSTATIC, AXIALLY-SYMMETRICAL SOLUTIONS OF THE KALUZA-KLEIN THEORY

1986-05-01
DERELI, T
ERIS, A
ERIS, A
Karasu, Atalay
Magnetostatic, axially symmetric 5-dimensional vacuum Einstein equations are formulated in terms of harmonic maps. A correspondence between stationary, axially symmetric 4-dimensional vacuum Einstein solutions and the magnetostatic, axially symmetric Jordan-Thiry solutions is established. The «Kaluza-Klein magnetic monopole» solution is recovered in a special case.