All the Four Dimensional Static, Spherically Symmetric Solutions of Abelian Kaluza-Klein Theory

Details All the Four Dimensional Static, Spherically Symmetric Solutions of Abelian Kaluza-Klein Theory All the Four Dimensional Static, Spherically Symmetric Solutions of Abelian Kaluza-Klein Theory

1995-03-12

arxiv.org/abs/hep-th/9503082v3

Phys.Rev.Lett.75:4165-4168,1995

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, uses RevTex, improved version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.75.4165

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 $\vec{\cal Q}$ and $n$ magnetic $\vec{\cal P}$ 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.

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