Complexification as alternative to higher dimensions: N = 2 string as a complex source of Kerr geometry. ... Based on: A.B., Stringlike structures in the Kerr-Schild geometry: N=2 string, twistors and Calabi-Yau twofold [arXiv:1307.5021 ]. ... Complex shift of the Coulomb solution (x) in Cartesian coordinates x = (x, y , z ) Ta(x) = a(x + i~), where ~ = (0, 0, -ia), creates in the real slice Appel solution a = Re ~ ~a a in oblate spheroidal coordinates r and . ... Complex Kerr String. ...

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