Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing the Weak Cosmic Censorship Conjecture in Lanczos-Lovelock
  gravity   In this paper, we test the weak cosmic censorship conjecture (WCCC) in the
nearly extremal static charged black holes of Lanczos-Lovelock-Maxwell gravity
based on the new version of gedanken experiments proposed by Sorce and Wald.
After introducing the null energy condition of the matter fields, we show that
the (nearly) extremal black holes can be destroyed under the first-order
approximation for the case with $S'(r_h)\leq 0$, where $S(r_h)$ is the entropy
of the background black hole geometry in Lanczos-Lovelock gravity. It implies
that the WCCC is violated in these situations. For the case with $S'(r_h)>0$,
the nearly extremal black holes cannot be overcharged by the new version of the
gedanken experiments for both first- and second-order approximations of
perturbation. These results indicate that the WCCC is satisfied in the
Lanczos-Lovelock gravity with the condition $S'(r_h)>0$. Our work also implies
that the WCCC will play a natural role to constrain the Lanczos-Lovelock
gravities. Finally, we also show that the destroy condition $S'(r_h)<0$ implies
that the nearly extremal black hole is thermodynamically unstable under the
first-order approximation.

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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs