Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of scalarized charged black holes in the
  Einstein-Maxwell-Scalar theory   We analyze the stability of scalarized charged black holes in the
Einstein-Maxwell-Scalar (EMS) theory with quadratic coupling. These black holes
are labelled by the number of $n=0,1,2,\cdots$, where $n=0$ is called the
fundamental black hole and $n=1,2,\cdots$ denote the $n$-excited black holes.
We show that the $n=0$ black hole is stable against full perturbations, whereas
the $n=1,2$ excited black holes are unstable against the $s(l=0)$-mode scalar
perturbation. This is consistent with the EMS theory with exponential coupling,
but it contrasts to the $n=0$ scalarized black hole in the
Einstein-Gauss-Bonnet-Scalar theory with quadratic coupling. This implies that
the endpoint of unstable Reissner-Nordstr\"{o}m black holes with $\alpha>8.019$
is the $n=0$ black hole with the same $q$. Furthermore, we study the scalarized
charged black holes in the EMS theory with scalar mass $m^2_\phi=\alpha/\beta$.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph