Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The nonlinear-electrodynamic bending of the x-ray and gamma-ray in the
  magnetic field of pulsars and magnetars   It was shown that according to the non-linear electrodynamics of vacuum
electromagnetic rays should bend in the field of magnetic dipole. The angles of
ray bending in the gravitational and magnetic fields of pulsars and magnetars
were obtained. In the case of pulsars with $b\sim R\sim $ 100 km, $B_0\sim
10^{13} G$ the value of the angle of non-linear electrodynamic bending of a ray
in the Heisenberg-Euler theory will reach the value of $\delta \psi_{NED}\sim
30'',$ and in the case of a magnetar with $B_0\sim 10^{15} G$ the angle $\delta
\psi_{NED}$ will increase to $\delta \psi_{NED}\sim 1 rad\sim 60^\circ .$ The
angle of gravitational bending of a ray at neutron star with $r_g$ = 3 km in
the same conditions will be equal to $\delta \psi_g\sim 0.06$ rad $\sim 4^\circ
>.$ Observations can only be made in X- rays and gamma-rays, for which the
agnetosphere is quite opaque. Because the distance from the Earth to the
well-known pulsars and magnetars is too large to observe the pure effect of a
ray bending. The non-linear electrodynamic bending of a ray as well as the
gravitational bending will be revealed in the effect of lensing.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat