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Recently, the Scalar Field Dark Matter (SFDM) model (also known as Fuzzy,Wave, Bose-Einstein, Ultra-light Dark Matter) has gained a lot of attentionbecause it has provided simpler and more natural explanations for variousphenomena observed in galaxies, as a natural explanation for the center ofgalaxies, the number of satellite galaxies around their host and, morerecently, a natural explanation for anomalous trajectories of satellitegalaxies called Vast Polar Orbits (VPO) observed in various galaxies. In thepresent work we study the assumption that the SFDM is a type of charged darkboson whose gauge charge is associated with the Dark Photon (DP). Inspired bythese results, we study the formation of compact bosonic objects, such as BosonStars (BS) and focus on the possibility that, due to spontaneous $U(1)$ SFDMsymmetry breaking, the DP may acquire mass and form compact objects like ProcaStars (PS). If this is true, we can expect measurable effects on theelectromagnetic field of the Standard Model (SM) of particles due to theirinteraction with the DP on the formation of compact objects.

Proca Stars with Dark Photons from Spontaneous Symmetry Breaking of the Scalar Field Dark Matter