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

Spontaneous vectorization of black holes in higher spin fields leads to undercharged, entropically preferable black holes, circumventing the no-hair theorem.

Spontaneous vectorization of electrically charged black holes

Key Takeaway: Spontaneous vectorization of black holes in higher spin fields leads to undercharged, entropically preferable black holes, circumventing the no-hair theorem.