All the FourDimensional Static, Spherically Symmetric Solutions of Abelian KaluzaKlein Theory
Abstract
We present the explicit form for all the fourdimensional, static, spherically symmetric solutions in (4+n)d Abelian KaluzaKlein 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(n2) transformations. The solutions are parametrized by the mass M, TaubNUT charge a, and n electric Q> and n magnetic P> charges. Nonextreme black holes (with zero TaubNUT charge) have either the ReissnerNordström or Schwarzschild global spacetime. Supersymmetric extreme black holes have a null or naked singularity, while nonsupersymmetric extreme ones have a global spacetime of extreme ReissnerNordström black holes.
 Publication:

Physical Review Letters
 Pub Date:
 December 1995
 DOI:
 10.1103/PhysRevLett.75.4165
 arXiv:
 arXiv:hepth/9503082
 Bibcode:
 1995PhRvL..75.4165C
 Keywords:

 04.50.+h;
 04.20.Jb;
 04.70.Bw;
 11.25.Mj;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Exact solutions;
 Classical black holes;
 Compactification and fourdimensional models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 8 pages, uses RevTex, improved version to appear in Phys. Rev. Lett