Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black hole dynamics from thermodynamics in Anti-de Sitter space   We work on the relation between the local thermodynamic instability and the
dynamical instability of large black holes in four-dimensional anti-de Sitter
space proposed by Gubser and Mitra. We find that all perturbations suppressing
the metric fluctuations at linear order become dynamically unstable when black
holes lose the local thermodynamic stability. We discuss how dynamical
instabilities can be explained by the Second Law of Thermodynamics.

12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol