Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Formation of Elliptical Galaxies   It is shown that the violent relaxation of dissipationless stellar systems
leads to universal de Vaucouleurs profiles only outside 1.5 effective radii
$R_e$. Inside $1.5 R_e$ the surface density profiles depend strongly on the
initial conditions and are in general not in agreement with the de Vaucouleurs
law. This result is in contradiction to the observations which show that all
elliptical galaxies have de Vaucouleurs profiles inside $1.5 R_e$ and show
strong deviations outside $1.5 R_e$. The $r^{1/4}$-profiles of E-galaxies are
therefore not a direct result of collisionless violent relaxation and angular
momentum redistribution. It is rather a universal initial density profile which
is required in order to explain the universal structure of E-galaxies. A new
model for the formation of E-galaxies is presented which assumes that
ellipticals and bulges formed from isothermal, gaseous spheres which
accumulated in the core regions of dark matter halos and condensed into stars
through a cooling instability. This scenario predicts that early type galaxies
trace directly the core radii and core masses of their dark matter halos,
providing important information on the nature of the dark matter component in
galaxies.

2
The categories of this paper are: math
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph