Published December 1988
| Version v1
Journal article
4-dimensional black holes from Kaluza-Klein theories
- 1. Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (Germany, F.R.). Werner-Heisenberg-Inst. fuer Physik
- 2. Observatoire de Paris, Section de Meudon, 92 (France). Groupe d'Astrophysique Relativiste
- 3. Ecole Normale Superieure, 75 - Paris (France). Lab. de Physique Theorique
- 4. Cambridge Univ. (UK). Dept. of Applied Mathematics and Theoretical Physics (DAMTP)
Description
In this paper we consider generalizations in 4 dimensions of the Einstein-Maxwell equations which typically arise from Kaluza-Klein theories. We specify conditions such that stationary solutions lead to non-linear σ-models for symmetric spaces. Using both this group theoretic structure and some properties of harmonic maps we are able to generalize many of the known existence and uniqueness theorems for black holes in Einstein-Maxwell theory to this more general setting. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 120
- Journal Issue
- 2
- Series
- Commun. Math. Phys.
- Journal Page Range
- 295-333
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 20006830
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; AXIAL SYMMETRY; BLACK HOLES; BOUNDARY CONDITIONS; COUPLING; EINSTEIN-MAXWELL EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; GENERAL RELATIVITY THEORY; GEODESICS; GRAVITATIONAL FIELDS; GROUP THEORY; KALUZA-KLEIN THEORY; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; METRICS; NONLINEAR PROBLEMS; SIGMA MODEL; STEADY-STATE CONDITIONS; TOPOLOGICAL MAPPING; VECTOR FIELDS
- Descriptors DEC
- BOSON-EXCHANGE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL MODELS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM FIELD THEORY; SYMMETRY; TRANSFORMATIONS; UNIFIED-FIELD THEORIES