Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solar Structure in terms of Gauss' Hypergeometric Function   Hydrostatic equilibrium and energy conservation determine the conditions in
the gravitationally stabilized solar fusion reactor. We assume a matter density
distribution varying non- linearly through the central region of the Sun. The
analytic solutions of the differential equations of mass conservation,
hydrostatic equilibrium, and energy conservation, together with the equation of
state of the perfect gas and a nuclear energy generation rate
$\epsilon=\epsilon_0\rho^nT^m$, are given in terms of Gauss' hypergeometric
function. This model for the structure of the Sun gives the run of density,
mass pressure, temperature, and nuclear energy generation through the central
region of the Sun. Because of the assumption of a matter density distribution,
the conditions of hydrostatic equilibrium and energy conservation are separated
from the mode of energy transport in the Sun.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin