Radial stability of spherical bosonic stars and critical points

Abstract

We study radial perturbations of spherically symmetric spin-$0$ and spin-$1$ bosonic stars, computing numerically the squared frequency of the fundamental mode. We find that not all critical points $-$ where the Arnowitt-Deser-Misner mass attains an extremum $-$ correspond to zero modes. Thus, radial stability does not $\text{always}$ change at such critical points. The results are in agreement with the so-called critical point method.

arXiv comment23 pages, 8 figures and 6 tables

References in corpus (25)

• Ultralight scalars as cosmological dark matter
• Testing the nature of dark compact objects: a status report
• The fuzzball proposal for black holes: an elementary review
• Gravitational Vacuum Condensate Stars
• TOPICAL REVIEW: General relativistic boson stars
• Formation of Solitonic Stars Through Gravitational Cooling
• Proca Stars: gravitating Bose-Einstein condensates of massive spin 1 particles
• A Review on the Scalar Field/ Bose-Einstein Condensate Dark Matter Model
• Gravitational cooling of self-gravitating Bose-Condensates
• Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances
• Dynamical Evolution of Boson Stars II: Excited States and Self-Interacting Fields
• Boson Stars and Oscillatons: A Review
• Boson stars driven to the brink of black hole formation
• Asymptotically flat scalar, Dirac and Proca stars: discrete vs. continuous families of solutions
• Stability of rotating scalar boson stars with nonlinear interactions
• Numerical evolutions of spherical Proca stars
• A quasi-radial stability criterion for rotating relativistic stars
• Axion boson stars
• On the stability and maximum mass of differentially rotating relativistic stars
• Evolving spherical boson stars on a 3D cartesian grid
• Ultralight bosons for strong gravity applications from simple Standard Model extensions
• The non-spherical ground state of Proca stars
• Boson stars and their radial oscillations
• Self-interacting dipolar boson stars and their dynamics
• Highly compact Proca stars with quartic self-interactions

Cited by in corpus (4)

• Hair is complicated: Gravitational waves from stable and unstable boson-star mergers
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions
• Mini boson stars in higher dimensions are radially unstable
• Massive boson stars: Stability and GW emission in head-on mergers