Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics and Stability of Hyperbolic Charged Black Holes   In AdS space the black hole horizon can be a hypersurface with a positive,
zero or negative constant curvature, resulting in different horizon topology.
Thermodynamics and stability of black holes in AdS spaces are quite different
for different horizon curvatures. In this paper we study thermodynamics and
stability of hyperbolic charged black holes with negative constant curvature
horizon in the grand canonical ensemble and canonical ensemble, respectively.
They include hyperbolic Reissner-Nordstr\"om black holes in arbitrary
dimensions and hyperbolic black holes in the D=5,4,7 gauged supergravities. It
is found that the associated Gibbs free energies are always negative, which
implies that these black hole solutions are globally stable and black hole
phase is dominant in the grand canonical ensemble, but there is a region in the
phase space where black hole is not locally thermodynamical stable with a
negative heat capacity for a given gauge potential. In the canonical ensemble,
the Helmholtz free energies are not always negative and heat capacities with
fixed electric charge are not always positive, which indicates that the
Hawking-Page phase transition may happen and black holes are not always locally
thermodynamical stable.

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The categories of this paper are: bayes-an
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The categories of this paper are: eess
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs