Papers › Are nonrelativistic ground state ℓ-boson stars only stable for ℓ=0 and ℓ=1?
Are nonrelativistic ground state ℓ-boson stars only stable for ℓ=0 and ℓ=1?
Emmanuel Chávez Nambo, Armando A. Roque, Olivier Sarbach
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
In previous work we analyzed the linear stability of non-relativistic ℓ-boson stars with respect to radial modes and showed that ground state configurations are stable with respect to these modes, whereas excited states are unstable. In this work we extend the analysis to non-spherical linear mode perturbations. To this purpose, we expand the wave function in terms of tensor spherical harmonics which allows us to decouple the perturbation equations into a family of radial problems. By using a combination of analytic and numerical methods, we show that ground state configurations with ℓ> 1 possess exponentially in time growing non-radial modes, whereas only oscillating modes are found for ℓ=0 and ℓ=1. This leads us to conjecture that nonrelativistic ℓ-boson stars in their ground state are stable for ℓ=1 as well as ℓ=0, while ground state and excited configurations with ℓ> 1 are unstable.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections