Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet
  Born-Infeld gravity   Employing higher curvature corrections to Einstein--Maxwell gravity has
garnered a great deal of attention motivated by the high energy regime in
quantum nature of black hole physics. In addition, one may employ gravity's
rainbow to encode quantum gravity effects into the black hole solutions. In
this paper, we regard an energy dependent static spacetime with various
topologies and study its black hole solutions in the context of Gauss--Bonnet
Born--Infeld (GB--BI) gravity. We study thermodynamic properties and examine
the first law of thermodynamics. Using suitable local transformation, we endow
the Ricci--flat black hole solutions with a global rotation and study the
effects of rotation on thermodynamic quantities. We also investigate thermal
stability in canonical ensemble through calculating the heat capacity. We
obtain the effects of various parameters on the horizon radius of stable black
holes. Finally, we discuss second order phase transition in the extended phase
space thermodynamics and investigate the critical behavior.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs