Soliton transformations for axially symmetric higher-dimensional gravity. I. Generalized Neugebauer--Kramer transformations

Journal Article · Wed Apr 01 04:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527579· OSTI ID:6897339

Lee, S

The field equations for axially symmetric gravitational fields in 4+K dimensions with K-dimensional toroidal compatification can be reduced to those of a generalized nonlinear sigma model. The dual symmetry of this model is considered first. Then the soliton transformations for these equations are derived using the method of Belinskii and Zakharov consequently generalizing their results to the higher-dimensional case. From the result of one-soliton transformation, a series of discrete symmetries generalizing the Neugebauer--Kramer transformation in the four-dimensional case are obtained. The basic properties of these new transformations are studied.

• Research Organization: Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
• OSTI ID: 6897339
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
COMPACTIFICATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL FIELDS
ITERATIVE METHODS
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
METRICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTICLE MODELS
QUASI PARTICLES
SIGMA MODEL
SOLITONS
SYMMETRY
TRANSFORMATIONS
UNIFIED-FIELD THEORIES