Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic instability of topological black holes with nonlinear
  source   In this paper, we obtain higher dimensional topological black hole solutions
of Einstein-$\Lambda$ gravity in the presence of a class of nonlinear
electrodynamics. First, we calculate the conserved and thermodynamic quantities
of ($n+1$)-dimensional asymptotically flat solutions and show that they satisfy
the first law of thermodynamics. Also, we investigate the stability of these
solutions in the (grand) canonical ensemble. Second, we endow a global rotation
to the static Ricci-flat solutions and calculate the conserved quantities of
solutions by using the counterterm method. We obtain a Smarr-type formula for
the mass as a function of the entropy, the angular momenta and the electric
charge, and show that these quantities satisfy the first law of thermodynamics.
Then, we perform a stability analysis of the rotating solutions both in the
canonical and the grand canonical ensembles.

8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs