Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of matter geometry on low angular momentum black hole accretion
  in the Kerr metric   This work illustrates how the formation of energy-preserving shocks for
polytropic accretion and temperature-preserving shocks for isothermal accretion
are influenced by various geometrical configurations of general relativistic,
axisymmetric, low-angular-momentum flow in the Kerr metric. Relevant pre- and
post-shock states of the accreting fluid, both dynamical and thermodynamic,
have been studied comprehensively. Self-gravitational back-reaction on the
metric has not been considered in the present context. An elegant
eigenvalue-based analytical method has been introduced to provide qualitative
descriptions of the phase-orbits corresponding to stationary transonic
accretion solutions, without resorting to involved numerical schemes. Effort
has been made to understand how the weakly-rotating flow behaves in close
proximity of the event horizon and how such `quasi-terminal' quantities are
influenced by the black hole spin for different matter geometries. Our main
purpose is thus to mathematically demonstrate that for non-self-gravitating
accretion, separate matter geometries, in addition to the corresponding
space-time geometry, control various shock-induced phenomena observed within
black hole accretion discs. This work is expected to reveal how such phenomena
observed near the horizon depend on physical environment of the source
harbouring a supermassive black hole at its centre. It is also expected to
unfold correspondences between the dependence of accretion-related parameters
on flow geometries and on black hole spin. Temperature-preserving shocks in
isothermal accretion may appear bright as substantial amount of rest-mass
energy of the infalling matter gets dissipated at the shock surface, and the
prompt removal of such energy to maintain isothermality may power the X-ray/IR
flares emitted from our Galactic centre.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an