Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics

Understand

We perform a study of the gravitating electrostatic spherically symmetric (G-ESS) solutions of Einstein field equations minimally coupled to generalized non-linear abelian gauge models in three space dimensions.

• These models are defined by lagrangian densities which are general functions of the gauge field invariants, restricted by some physical conditions of admissibility.
• They include the class of non-linear electrodynamics supporting ESS non-topological soliton solutions in absence of gravity.
• We establish that the qualitative structure of the G-ESS solutions of admissible models is fully characterized by the asymptotic and central-field behaviours of their ESS solutions in flat space (or, equivalently, by the behaviour of the lagrangian densities in vacuum and on the point of the boundary of their domain of definition, where the second gauge invariant vanishes).