Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbing the ground state of Dirac stars   Dirac stars are self-gravitating configurations of spin-1/2 fermions in which
the fermions are described by the Dirac equation. After a detailed review of
the derivation of the equations and their static solutions, we present an
in-depth dynamical stability analysis of the ground state similar to previous
studies for boson stars. We confirm that there exist both stable and unstable
branches of static solutions and show that weakly perturbed Dirac stars from
the unstable branch migrate to the stable branch. We also show that strongly
perturbed Dirac stars from the stable branch migrate to the stable branch if
their mass is below a critical value. If their mass is above the critical value
they can migrate to the stable branch or collapse and form a black hole. For
strongly perturbed Dirac stars from the unstable branch we show that the
addition of even a small amount of mass leads to collapse, while if we decrease
their mass they migrate to the stable branch.

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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex