Stationary axisymmetric Einstein--Maxwell field equations

Journal Article · Wed Dec 01 04:00:00 EST 1976 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.522870· OSTI ID:7333382

Catenacci, R; Diaz Alonso, J

We show the existence of a formal identity between Einstein's and Ernst's stationary axisymmetric gravitational field equations and the Einstein--Maxwell and the Ernst equations for the electrostatic and magnetostatic axisymmetric cases. Our equations are invariant under very simple internal symmetry groups, and one of them appears to be new. We also obtain a method for associating two stationary axisymmetric vacuum solutions with every electrostatic known. (AIP)

• Research Organization: Groupe d'Astrophysique Relativiste, Observatoire de Meudon, 92 Meudon, France
• OSTI ID: 7333382
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 17:12; 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
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL WAVES
SYMMETRY