Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of the refractive index of the X-ray corona on the emission
  lines in AGN   X-ray reflection from an accretion disc produces characteristic emission
lines allowing us to probe the innermost regions in AGN. We investigate these
emission lines under a framework of Riemannian geometrical optics where the
corona has a refractive index of $n \neq 1$. The empty space outside is a
vacuum with $n = 1$. The Kerr metric is modified to trace the light rays that
are bent due to not only the gravity of the black hole, but also the effects of
coronal plasma dependent on $n$. The choice of $n$ alters the null geodesics,
producing the effect which is analogous to the light deflection. For the corona
with $n > 1$, the disc on the far side within the corona covers a larger area
on the observer' sky, enhancing the blue wing of the line and producing more
flux difference between the blue peak and extended red tail. The inverse
effects are seen when $n < 1$. Moreover, the corona with $n > 1$ and $n < 1$
could induce extra shifts in the blue wing ($\Delta g_{max}$) to higher and
lower energy, respectively. These effects are more prominent when the
inclination angle is $\gtrsim 60^\circ$ and the corona extends to $\gtrsim
5r_g$. To obtain the deviation of the line shift of $\Delta g_{\rm max} \gtrsim
0.01$, the difference between the refractive index of the corona and that of
the empty space must be $\Delta n \gtrsim 0.5%$. Finally, the lensing corona
can influence the arrival time of photons that may affect the observed
variability of these emission lines

2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an