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The non-spherical ground state of Proca stars
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Spherical Proca Stars (PSs) are regarded as the ground state amongst the family of PSs. In accordance, spherical PSs are thought to have a fundamental branch of stable solutions. In this Letter, we provide energetic, morphological and dynamical evidence that spherical PSs are actually excited states. The ground state is shown to be a family of static, non-spherical, in fact prolate, PSs. The spherical stars in the fundamental branch, albeit stable against spherical perturbations, turn out to succumb to non-spherical dynamics, undergoing an isometry breaking into prolate PSs. We also provide evidence for the dynamical formation of prolate PSs, starting from spherical dilute initial data, via gravitational cooling. Consequently, PSs provide a remarkable example of (possibly compact) relativistic stars, in General Relativity minimally coupled to a simple, physical, field theory model, where staticity plus stability implies non-sphericity.
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Cited by 3 Pith papers
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Extreme mass-ratio inspirals into Newtonian Proca stars
For Newtonian Proca stars, a perturbing object on a circular orbit loses nearly the same energy in the vector ground state as in the scalar boson-star ground state (within ~20%), while the spherical excited Proca stat...
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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-f...
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The continuum spectrum of nonrelativistic multi-frequency Proca stars
At fixed particle number, spherical multi-frequency Proca stars form continuous 1- and 2-parameter families interpolating between discrete stationary states, and a subset with a nodeless component is linearly stable.
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