Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical solutions of scalarized black holes   We consider charged black holes with scalar hair obtained in a class of
Einstein-Maxwell-scalar models, where the scalar field is coupled to the
Maxwell invariant with a quartic coupling function. Besides the
Reissner-Nordstr\"om black holes, these models allow for black holes with
scalar hair. Scrutinizing the domain of existence of these hairy black holes,
we observe a critical behavior: A limiting configuration is encountered at a
critical value of the charge, where spacetime splits into two parts: an inner
spacetime with a finite scalar field and an outer extremal Reissner-Nordstr\"om
spacetime. Such a pattern was first observed in the context of gravitating
non-Abelian magnetic monopoles and their hairy black holes.

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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom