Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Black Hole Solution In Dilaton Gravity Inspired By Power-Law
  Electrodynamics   In this work, a new class of slowly rotating black hole solutions in dilaton
gravity has been obtained where dilaton field is coupled with nonlinear Maxwell
invariant. The background space-time is a stationary axisymmetric geometry.
Here, it has been shown that the dilaton potential can be written in the form
of generalized three Liouville-type potentials. In the presence of this three
Liouville-type dilaton potential, the asymptotic behavior of the obtained
solutions are neither flat nor (A)dS. One bizarre property of the electric
field is that the electric field goes to zero when $r\rightarrow 0$ and
diverges at $r\rightarrow\infty$. We show the validity of the first law of
thermodynamics in thermodynamic investigations. The local and global
thermodynamical stability are investigated through the use of heat capacity and
Gibbs free-energy. Also, the bounded, phase transition and the Hawking-Page
phase transition points as well as the ranges of black hole stability have been
shown in the corresponding diagrams. From these diagrams, we can say that the
presence of the dilaton field makes the solutions to be locally stable near
origin and vanishes the global stability of our solutions. In final
thermodynamics analysis, we obtain the Smarr formula for our solution. We will
show that the presence of dilaton field brings a new term in the Smarr formula.
Also, we find that the dilaton field makes the black hole(AdS) mass to decrease
for every fix values of S(entropy).

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th