Nonrelativistic Proca stars have a ground state with constant polarization (linear or circular depending on the sign of the spin-spin coupling), and a symmetry-enhanced sector with λs=0 contains a continuum of multi-frequency solutions connecting stationary states.
(C2) leads to ˆϵ = (ˆϵ · ˆϵ)ˆϵ∗, (C4) which, together with the condition ˆϵ∗ · ˆϵ = 1, implies that ˆϵ is real-valued up to a global phase factor
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Nonrelativistic Proca stars: Spherical stationary and multi-frequency states
Nonrelativistic Proca stars have a ground state with constant polarization (linear or circular depending on the sign of the spin-spin coupling), and a symmetry-enhanced sector with λs=0 contains a continuum of multi-frequency solutions connecting stationary states.