Premium
Duality rotations and type D solutions of Einstein‐Born‐Infeld theory
Author(s) -
Salazar H.,
Garcia D. A.,
Plebanski J. F.
Publication year - 1986
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113070523
Subject(s) - physics , geodesic , type (biology) , cosmological constant , duality (order theory) , mathematical physics , eigenvalues and eigenvectors , metric (unit)
Within the non‐linear electrodynamics of Born‐Infeld type, constrained by the condition that admits the freedom of the duality rotations the explicit type D solutions, which generalize the charged Taub‐NUT metric with cosmological constant, are constructed. The obtained type D solution exhausts all solutions within the considered class, assumed that the real eigenvectors of the electromagnetic field are aligned along the geodesic and shear‐free principa null directions.