Regular electrically charged vacuum structures with de Sitter centre in nonlinear electrodynamics coupled to general relativity

摘要: We address the question of existence regular spherically symmetric electrically charged solutions in nonlinear electrodynamics (NED) coupled to general relativity. The stress-energy tensor electromagnetic field has algebraic structure T 0 = 1 . In this case, weak energy condition leads de Sitter asymptotic on approaching a centre. centre an NED structure, electric field, geometry and are without Maxwell limit which is replaced by limit: density maximal gives effective cut-off self-energy density, produced gravity related cosmological constant A. Regular solutions, satisfying WEC, suffer from one cusp Lagrangian £(F), creates problem whose geodesics world lines photons. investigate propagation photons show that their never terminate suggests absence singularities geometry. To illustrate these results we present particular example new exact analytic solution with