Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic instability of nonlinearly charged black holes in
  gravity's rainbow   Motivated by the violation of Lorentz invariancy in quantum gravity, we study
black hole solutions in gravity's rainbow in context of Einstein gravity
coupled with various models of nonlinear electrodynamics. We regard an energy
dependent spacetime and obtain related metric functions and electric fields. We
show that there is an essential singularity at the origin which is covered with
an event horizon. We also compute the conserved and thermodynamical quantities
and examine the validity of the first law of thermodynamics in the presence of
rainbow functions. Finally, we investigate thermal stability conditions for
these black hole solutions in context of canonical ensemble. We show that
thermodynamical structure of the solutions depends on the choices of
nonlinearity parameters, charge and energy functions.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph