PT Journal AU Bueno, P Galli, P Meessen, P Ortin, T TI Black holes and equivariant charge vectors in N=2, d=4 supergravity SO Journal of High Energy Physics JI J. High Energy Phys. PY 2013 BP 010 EP 51pp VL 09 IS 9 DI 10.1007/JHEP09(2013)010 AB We extend previous investigations on the construction of extremal supersymmetric and non-supersymmetric solutions in the H-FGK formalism to unconventional solutions with anharmonic terms. We show how the use of fake charge vectors equivariant under duality transformations simplifies and clarifies the task of identification of the attractors of the theory. ER