Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational decoupling, hairy black holes and conformal anomalies   Hairy black holes in the gravitational decoupling setup are studied from the
perspective of conformal anomalies. Fluctuations of decoupled sources can be
computed by measuring the way the trace anomaly-to-holographic Weyl anomaly
ratio differs from unit. Therefore the gravitational decoupling parameter
governing three hairy black hole metrics is then bounded to a range wherein one
can reliably emulate AdS/CFT with gravitational decoupled solutions, in the
tensor vacuum regime.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
2
The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas