Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yang-Mills black holes in Quasitopological gravity   In this paper, we formulate two new classes of black hole solutions in higher
curvature quartic quasitopological gravity with nonabelian Yang-Mills theory.
At first step, we consider the $SO(n)$ and $SO(n-1,1)$ semisimple gauge groups.
We obtain the analytic quartic quasitopological Yang-Mills black hole
solutions. Real solutions are only accessible for the positive value of the
redefined quartic quasitopological gravity coefficient, $\mu_{4}$. These
solutions have a finite value and an essential singularity at the origin, $r=0$
for space dimension higher than $8$. We also probe the thermodynamic and
critical behavior of the quasitopological Yang-Mills black hole. The obtained
solutions may be thermally stable only in the canonical ensemble. They may also
show a first order phase transition from a small to a large black hole. In the
second step, we obtain the pure quasitopological Yang-Mills black hole
solutions. For the positive cosmological constant and the space dimensions
greater than eight, the pure quasitopological Yang-Mills solutions have the
ability to produce both the asymptotically AdS and dS black holes for
respectively the negative and positive constant curvatures, $k=-1$ and $k=+1$.
This is unlike the quasitopological Yang-Mills theory which can lead to just
the asymptotically dS solutions for $\Lambda>0$. The pure quasitopological
Yang-Mills black hole is not thermally stable.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex