Duality rotations and type D solutions of EinsteinBornInfeld theory
Abstract
Explicit type D solutions, which generalize the charged TaubNUT metric with cosmological constant, are constructed within nonlinear electrodynamics of the BornInfeld type, constrained by the condition that freedom of duality rotations is included. The Carter (+,) type D separable metrics in an optimal coordinatization is discussed, and the nonlinear electrodynamics in general relativity is described in terms of the null tetrad formalism. The class of nonlinear theories endowed with the freedom of duality rotations is defined. It is shown that B(+,) branches are indeed carriers of solutions to the dynamical scheme of nonlinear electrodynamics, deriving explicit solutions which generalize the TaubNUT charged solutions with lambda for the case of 'nonlinear charges'.
 Publication:

Astronomische Nachrichten
 Pub Date:
 1986
 DOI:
 10.1002/asna.2113070523
 Bibcode:
 1986AN....307..327S
 Keywords:

 BornInfeld Theory;
 Cosmology;
 Duality Principle;
 Einstein Equations;
 Metric Space;
 Electromagnetic Fields;
 Nonlinear Equations;
 Quantum Electrodynamics;
 Rotation;
 Physics (General)