Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
D. Astefanesei (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil, Valparaíso, 2950, Chile); C. Herdeiro (CENTRA, Departamento de Física, Instituto Superior Técnico — IST, Universidade de Lisboa — UL, Avenida Rovisco Pais 1, Lisboa, 1049, Portugal, Departamento de Matemática da Universidade de Aveiro and CIDMA, Campus de Santiago, Aveiro, 3810-183, Portugal); A. Pombo (Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, Aveiro, 3810-183, Portugal); E. Radu (Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, Aveiro, 3810-183, Portugal)
Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models into two classes, based on the properties of the coupling function, which, in particular, allow, or not, the Reissner- Nordström (RN) BH solution of electrovacuum to solve a given model. Then, a comparative analysis of two illustrative families of solutions, one belonging to each class is performed: dilatonic versus scalarised BHs. By including magnetic charge, that is considering dyons, we show that scalarised BHs can have a smooth extremal limit, unlike purely electric or magnetic solutions. In particular, we study this extremal limit using the entropy function formalism, which provides insight on why both charges are necessary for extremal solutions to exist.
