We present the explicit form for all the four dimensional, static,
spherically symmetric solutions in (4+n)-d Abelian Kaluza-Klein theory by
performing a subset of SO(2,n) transformations corresponding to four
SO(1,1) boosts on the Schwarzschild solution, supplemented by SO(n)/SO(n−2)
transformations. The solutions are parameterized by the mass M, Taub-Nut
charge a, n electric Q and n magnetic P
charges. Non-extreme black holes (with zero Taub-NUT charge) have either the
Reissner-Nordstr\" om or Schwarzschild global space-time. Supersymmetric
extreme black holes have a null or naked singularity, while non-supersymmetric
extreme ones have a global space-time of extreme Reissner-Nordstr\" om black
holes.Comment: 8 pages, uses RevTex, improved version to appear in Phys. Rev. Let