Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The different phases of hairy black holes in AdS5 space   We investigate the thermodynamics of hairy black holes in asymptotically
Anti-de Sitter (AdS) space, including backreaction. Resorting to the Euclidean
path integral approach, we show that matter conformally coupled to Einstein
gravity in five dimensions may exhibit a phase transition whose endpoint turns
out to be a hairy black hole in AdS5 space. The scalar field configuration
happens to be regular everywhere outside and on the horizon, and behaves
asymptotically in such a way that respects the AdS boundary conditions that are
relevant for AdS/CFT. The theory presents other peculiar features in the
ultraviolet, like the existence of black holes with arbitrarily low temperature
in AdS5. This provides a simple setup in which the fully backreacting problem
of a hair forming in AdS at certain critical temperature can be solved
analytically.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph