Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources

Journal Article · Tue Sep 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527430· OSTI ID:6459121

Salazar I, H; Garcia D, A; Pleban-acute-accentski, J

Within nonlinear electrodynamics of Born--Infeld type allowing for the freedom of duality rotations, explicit type D solutions are constructed. The obtained type D solutions, which generalize the charged Taub--NUT (Newman--Unti--Tamburino) metric with lambda, exhaust all solutions within the considered class, under the assumption that the real eigenvectors of the electromagnetic field are aligned along the geodesic and shear-free principal null directions. Various relevant limiting transitions, in particular those of the flat space-time, are studied in some detail.

• Research Organization: Centro de Investigacion y de Estudios Avanzados del IPN, Departamento de Fisica, Apartado Postal 14-740, 07000 Mexico, D. F., Mexico
• OSTI ID: 6459121
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:9; 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
DEGREES OF FREEDOM
EINSTEIN FIELD EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
LAGRANGIAN FUNCTION
METRICS
NONLINEAR PROBLEMS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SPACE-TIME