Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational lensing for stationary axisymmetric black holes in
  Eddington-inspired Born-Infeld gravity   The recent years witnessed a surge of interest of the lensing of the black
holes arising from general as well as other modified theories of gravity due to
the experimental data available from the EHT results. The EHT may open a new
door indicating the possible existence of the rotating black hole solutions in
modified theories of gravity in the strong field regime. With this motivation,
we investigate in the present paper the equatorial lensing $(\theta=\pi/2)$ by
a recently obtained exact rotating black holes solution in EiBI theory in both
the strong and weak field limits. Such black holes are the modification of
Kerr-Newman black holes in general relativity, characterized by their mass
($M$), the charge ($Q$), and the rotation parameter ($a$). and an additional
term $\epsilon$ accounting for the correction to the Kerr-Newman solutions. We
show numerically the variations of the impact parameter $u_m$, the light
deflection coefficients $p$ and $q$, the total azimuthal bending angle
$\alpha_D$ and find a close dependence of these quantities on the charge
parameter $r_q$, the correction term $\epsilon$ and the spin $a$. We also
calculate the angular position $\theta_\infty$, and the angular separation $s$,
and the magnification of the relativistic images. In addition, we also discuss
the weak lensing of the black holes in EiBI theory using the Gauss-Bonnet
theorem. We calculate the weak lensing parameter and find its variation with
different values of the parameters $r_q$ and $\epsilon$.

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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex