Solution of the equations system of nonlinear electrodynamics minimally coupled to gravity in the axisymmetric case
Galaktionov E. V. 1
1Ioffe Institute, St. Petersburg, Russia
Email: evgalakt@mail.ru

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The main features of electromagnetic fields follow from the analysis of regular solutions of the system of equations of nonlinear electrodynamic minimally coupled to gravity (NED-GR). In this paper, a representation for the derivative of the Lagrangian with respect to the field invariant, which ensures the consistency of the system of equations NED-GR, is found and the exact solution of this system of equations is obtained. Expressions for the components of the electromagnetic field are given. Keywords: nonlinear electrodynamics, system of equations, consistency condition, electromagnetic field components.
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