Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The thermodynamic quantities of a black hole with an $f(R)$ global
  monopole   The thermodynamic quantities such as the local temperature, heat capacity,
off-shell free energy and the stability of a black hole involving a global
monopole within or outside the $f(R)$ gravity are examined. We compare the two
classes of results to show the influence from the generalization of the general
relativity. It is found that the $f(R)$ theory will modify the thermodynamic
properties of black holes, but the shapes of curves for thermodynamic
quantities with respect to the horizon are similar to the results within the
frame of general relativity. In both cases there will exist a small black hole
which will decay and a large stable black hole in the case that the
temperatures are higher than their own critical temperature.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph