Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of magnetic black holes in general nonlinear electrodynamics   We study the perturbative stability of magnetic black holes in a general
class of nonlinear electrodynamics, where the Lagrangian is given by a general
function of the field strength of electromagnetic field $F_{\mu\nu}$ and its
Hodge dual $\widetilde{F}_{\mu\nu}$. We derive sufficient conditions for the
stability of the black holes. We apply the stability conditions to Bardeen's
regular black holes, black holes in Euler-Heisenberg theory, and black holes in
Born-Infeld theory. As a result, we obtain a sufficient condition for the
stability of Bardeen's black holes, which restricts
$F_{\mu\nu}\widetilde{F}^{\mu\nu}$ dependence of the Lagrangian. We also show
that black holes in Euler-Heisenberg theory are stable for a sufficiently small
magnetic charge. Moreover, we prove the stability of black holes in the
Born-Infeld electrodynamics even when including
$F_{\mu\nu}\widetilde{F}^{\mu\nu}$ dependence.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an