Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamical First Laws of Black Holes in Quadratically-Extended
  Gravities   Einstein gravities in general dimensions coupled to a cosmological constant
and extended with quadratic curvature invariants admit a variety of black holes
that may asymptote to Minkowski, anti-de Sitter or Lifshitz spacetimes. We
adopt the Wald formalism to derive an explicit formula for calculating the
thermodynamical first law for the static black holes with
spherical/toric/hyperbolic isometries in these theories. This allows us to
derive/rederive the first laws for a wide range of black holes in literature.
Furthermore, we construct many new exact solutions and obtain their first laws.

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The categories of this paper are: bayes-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph