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arxiv: 2404.07257 · v3 · pith:6PKQHI3Gnew · submitted 2024-04-10 · 🌀 gr-qc

Radial stability of spherical bosonic stars and critical points

Nuno M. Santos , Carolina L. Benone , Carlos A. R. Herdeiro This is my paper
classification 🌀 gr-qc
keywords criticalpointsradialbosonicspin-stabilitystarsagreement
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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 $\textit{always}$ change at such critical points. The results are in agreement with the so-called critical point method.

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