Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The correspondence between sonic points of ideal photon gas accretion
  and photon spheres   In an accretion of fluid, its velocity may transit from subsonic to
supersonic. The point at which such transition occurs is called sonic point and
often mathematically special. We consider a steady-state and spherically
symmetric accretion problem of ideal photon gas in general static spherically
symmetric spacetime neglecting back reaction. Our main result is that the EOS
of ideal photon gas leads to correspondence between its sonic point and the
photon sphere of the spacetime in general situations. Despite of the dependence
of the EOS on the dimension of spacetime, this correspondence holds for
spacetimes of arbitrary dimensions.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int