Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing Cosmic Censorship Conjecture for Extremal and Near-extremal
  (2+1)-dimensional MTZ Black Holes   We test the validity of the weak cosmic censorship conjecture for the
($2+1$)-dimensional charged anti-de Sitter black hole solution, which was
derived by Martinez, Teitelboim, and Zanelli (MTZ). We first construct a
thought experiment by throwing test charged particles on an extremal MTZ black
hole. We derive that extremal ($2+1$) dimensional black holes can be
overcharged by test particles, unlike their analogues in $4$ and higher
dimensions. Nearly-extremal black holes can also be overcharged, by a judicious
choice of energy and charge for the test particles in the case when we ignore
the second order effects. Contrary to this, nearly-extremal black holes cannot
be overcharged by the second order perturbation, obeying the weak cosmic
censorship conjecture.

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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg