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

Journal Article · Mon Dec 04 00:00:00 EST 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.75.4165· OSTI ID:147885

Cvetic, M; Youm, D ^[1]

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1. Physics Department, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396 (United States)

We present the explicit form for all the four-dimensional, static, spherically symmetric solutions in (4+{ital n})-d Abelian Kaluza-Klein theory by performing a subset of SO(2,{ital n}) transformations corresponding to four SO(1,1) boosts on the Schwarzschild solution, supplemented by SO({ital n})/SO({ital n}{minus}2) transformations. The solutions are parametrized by the mass {ital M}, Taub-NUT charge {ital a}, and {ital n} electric {ital {rvec Q}} and {ital n} magnetic {ital {rvec P}} charges. Nonextreme black holes (with zero Taub-NUT charge) have either the Reissner-Nordstroem 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-Nordstroem black holes. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.

• OSTI ID: 147885
• Journal Information: Physical Review Letters, Vol. 75, Issue 23; Other Information: PBD: 4 Dec 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
FOUR-DIMENSIONAL CALCULATIONS
KALUZA-KLEIN THEORY
BLACK HOLES
SCHWARZSCHILD METRIC
SINGULARITY
SO GROUPS
SPACE-TIME
SPHERICAL CONFIGURATION
SUPERGRAVITY
SUPERSTRING MODELS
SYMMETRY
TRANSFORMATIONS