Stability of multistate configurations of fuzzy dark matter

Abstract

We study the stability properties of multistate configurations of the Schrödinger-Poisson system without self-interaction, with monopolar and first dipolar components (1,0,0) + (2,1,0). We show that these studied configurations are stable using numerical simulations and using criteria of stationarity, unitarity, and time dependence consistency. The study covers a range of states with a monopolar to dipolar mass ratio of between 47 and 0.17. The astrophysical implication of this result is that this type of configurations is at least stable and can be considered physically sound in multistate ultralight bosonic dark matter.

Multifield, Multifrequency Bosonic Stars and a Stabilization Mechanism

“…An excited monopole scalar BS, which is unstable against decaying to a fundamental BS [20], is stabilized by adding a sufficiently large fundamental monopole BS of a second field [21] (see also [22][23][24]). In the same spirit, for the non-relativistic BSs of the Schrödinger-Poisson system, a dipole configuration is stabilized by adding a sufficiently large fundamental monopole [25] (see also [26]). These examples turn out to be illustrations of a stabilization mechanism, as we shall discuss.…”

Bayesian analysis for rotational curves with ℓ-boson stars as a dark matter component

“…The stability of self-gravitating scalar field configurations have been widely studied as it is an important characteristic to determine their viability as astrophysical objects. In [40,41] and [42,43] it was shown that there exist stable -boson stars with n = + 1, under radial perturbations, in the relativistic and Newtonian limit respectively. On the other hand, -boson stars are unstable under 3D perturbations, however it is possible to stabilize them by adding a sufficiently large fundamental, n = 1, = 0 boson star [44].…”