Some harmonic maps on pseudo-riemannian manifolds
Journal Article
·
· Int. J. Theor. Phys.; (United States)
Rosen's bimetric theory of gravitation, when equipped with a flat background metric, is known to be realized as a harmonic mapping of Minkowski spacetime into a certain homogeneous space. This paper develops and exploits these facts to provide four classes of explicit solutions to Rosen's field equations. These four classes form the elements from which more general solutions may be formed by a type of superposition. It is also shown how spherical gravitational waves may be explicitly built into these solutions.
- Research Organization:
- Pontificia Universidade Catolica do Rio de Janeiro, Rio de Janeiro
- OSTI ID:
- 6921420
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 25:10; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GEODESICS
GRAVITATION
GRAVITATIONAL WAVES
HARMONICS
LIE GROUPS
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
RIEMANN SPACE
SMOOTH MANIFOLDS
SPACE
SPACE-TIME
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
WAVE EQUATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GEODESICS
GRAVITATION
GRAVITATIONAL WAVES
HARMONICS
LIE GROUPS
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
RIEMANN SPACE
SMOOTH MANIFOLDS
SPACE
SPACE-TIME
SYMMETRY GROUPS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
WAVE EQUATIONS