Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological black hole in the theory with nonminimal derivative coupling
  with power-law Maxwell field and its thermodynamics   We obtain topological black hole solutions in scalar-tensor gravity with
nonminimal derivative coupling between scalar and tensor components of gravity
and power-law Maxwell field minimally coupled to gravity. The obtained
solutions can be treated as a generalization of previously derived charged
solutions with standard Maxwell action \cite{Feng_PRD16}. We examine the
behaviour of obtained metric functions for some asymptotic values of distance
and coupling. To obtain information about singularities of the metrics we
calculate Kretschmann scalar. We also examine the behaviour of gauge potential
and show that it is necessary to impose some constraints on parameter of
nonlinearity in order to obtain reasonable behaviour of the filed. The next
part of our work is devoted to the examination of black hole's thermodynamics.
Namely we obtain black hole's temperature and investigate it in general as well
as in some particular cases. To introduce entropy we use well known Wald
procedure which can be applied to quite general diffeomorphism-invariant
theories. We also extend thermodynamic phase space by introducing thermodynamic
pressure related to cosmological constant and as a result we derive generalized
first law and Smarr relation. The extended thermodynamic variables also allow
us to construct Gibbs free energy and its examination gives important
information about thermodynamic stability and phase transitions. We also
calculate heat capacity of the black holes which demonstrates variety of
behaviour for different values of allowed parameters.

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The categories of this paper are: q-bio
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The categories of this paper are: cs
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph