Dynamical barmode instability in spinning bosonic stars
Abstract
Spinning bosonic stars (SBSs) can form from the gravitational collapse of a dilute cloud of scalar/Proca particles with nonzero angular momentum, via gravitational cooling. The scalar stars are, however, transient due to a nonaxisymmetric instability which triggers the loss of angular momentum. By contrast, no such instability was observed for the fundamental (m =1 ) Proca stars. In [N. SanchisGual et al., Phys. Rev. Lett. 123, 221101 (2019), 10.1103/PhysRevLett.123.221101] we tentatively related the different stability properties to the different toroidal/spheroidal morphology of the scalar/Proca models. Here, we continue this investigation, using threedimensional numericalrelativity simulations of the Einstein(massive, complex)KleinGordon system and of the Einstein(complex)Proca system. First, we incorporate a quartic selfinteraction potential in the scalar case to gauge its effect on the instability. Second, we investigate toroidal (m =2 ) Proca stars to assess their stability. Third, we attempt to relate the instability of SBSs to the growth rate of azimuthal density modes and the existence of a corotation point in the unstable models. Our results indicate that: (a) the selfinteraction potential can only delay the instability in scalar SBSs but cannot quench it completely; (b) m =2 Proca stars always migrate to the stable m =1 spheroidal family; (c) unstable m =2 Proca stars and m =1 scalar boson stars exhibit a pattern of frequencies for the azimuthal density modes which crosses the angular velocity profile of the stars in the corotation point. This establishes a parallelism with rotating neutron stars affected by dynamical barmode instabilities. Finally, we compute the gravitational waves emitted by SBSs due to the nonaxisymmetric instability. We investigate the detectability of the waveforms comparing the characteristic strain of the signal with the sensitivity curves of a variety of detectors, computing the signaltonoise ratio for different ranges of masses and for different source distances. Moreover, by assuming that the characteristic damping timescale of the barlike deformation in SBSs is only set by gravitationalwave emission and not by viscosity (unlike in neutron stars), we find that the postcollapse emission could be orders of magnitude more energetic than that of the barmode instability itself. Our results indicate that gravitationalwave observations of SBSs might be within the reach of future experiments, offering a potential means to establish the existence of such stars and to place tight constraints on the mass of the bosonic particle.
 Publication:

Physical Review D
 Pub Date:
 December 2020
 DOI:
 10.1103/PhysRevD.102.124009
 arXiv:
 arXiv:2010.05845
 Bibcode:
 2020PhRvD.102l4009D
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, 11 figures. A longer version of the abstract in the pdf