All the Four-Dimensional Static, Spherically Symmetric Solutions of Abelian Kaluza-Klein Theory
Abstract
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 parametrized by the mass M, Taub-NUT charge a, and n electric Q--> and n magnetic P--> charges. Nonextreme black holes (with zero Taub-NUT charge) have either the Reissner-Nordström or Schwarzschild global space-time. Supersymmetric extreme black holes have a null or naked singularity, while nonsupersymmetric extreme ones have a global space-time of extreme Reissner-Nordström black holes.
- Publication:
-
Physical Review Letters
- Pub Date:
- December 1995
- DOI:
- 10.1103/PhysRevLett.75.4165
- arXiv:
- arXiv:hep-th/9503082
- Bibcode:
- 1995PhRvL..75.4165C
- Keywords:
-
- 04.50.+h;
- 04.20.Jb;
- 04.70.Bw;
- 11.25.Mj;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Exact solutions;
- Classical black holes;
- Compactification and four-dimensional models;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 8 pages, uses RevTex, improved version to appear in Phys. Rev. Lett