Spontaneous vectorization of electrically charged black holes

In this work, we generalize the spontaneous scalarization phenomena in Einstein-Maxwell-scalar models to a higher spin field. The result is an Einstein-Maxwell-vector model wherein vector field nonminimally coupled Maxwell invariant by exponential coupling function. We show that latter guarantees circumvention of associated no-hair theorem when has form electric Different than its scalar counterpart, new spontaneously vectorized Reissner-Nordstr\"om (RN) black holes are, always, undercharged while being entropically preferable. solution profile and domain existence are presented analyzed.