Electrically charged black hole solutions in generalized gauge field theories

J. Diaz-Alonso, D. Rubiera-Garcia

We report on some main results of an analysis of the electrostatic spherically symmetric (ESS) solutions of physically admissible generalized gauge field theories minimally coupled to gravitation (0908.3303[hep-th]). Such a physical admissibility restricts the corresponding Lagrangian densities through conditions of regularity, parity invariance and positive-definite character of the energy. The admissible models are classified into several families according to the behaviour of their associated ESS solutions. The main features of the corresponding gravitational configurations of the different families are established and discussed in terms of the vacuum and asymptotic behaviours of the Lagrangian densities and the integration constants of the Einstein and field equations (as the ADM mass and the electric charge). Several particular models belonging to each family are considered as illustrative examples of this procedure.