Particular solution of the equation of Ernst with n fields, parametrized by an arbitrary harmonic function

Journal Article · Thu Aug 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526975· OSTI ID:5558267

Leaute, B; Marcilhacy, G

We determine a particular solution, dependent upon an arbitrary harmonic function in cylindrical coordinates, of the system of n partial differential equations, which characterizes both the axially symmetric field solution of the Einstein (n-1)--Maxwell equations and one class of axially symmetric static self-dual SU(n+1) Yang--Mills fields.

• Research Organization: Universite Paris VI, Unite Associee au Centre National de la Recherche Scientifique No. 769, Institut Henri Poincare, 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05, France
• OSTI ID: 5558267
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:8; 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
AXIAL SYMMETRY
COORDINATES
DIFFERENTIAL EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INTEGRALS
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
QUADRATURES
SYMMETRY
YANG-MILLS THEORY