Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homeoidally striated density profiles: sequences of virial equilibrium
  configurations with constant anisotropy parameters   The formulation of the tensor virial equations is generalized to unrelaxed
configurations, where virial equilibrium does not coincide with dynamical (or
hydrostatic) equilibrium. Further investigation is devoted to special classes
of homeoidally striated ellipsoids, defined as homeoidally striated, Jacobi
ellipsoids. In particular, virial equilibrium configurations with constant
anisotropy parameters are studied with more detail, including both flattened
and elongated, triaxial configurations, and the determination of the related
bifurcation points. The explicit expression of different rotation parameters is
also determined. An application is made to dark matter haloes hosting giant,
galaxies, with regard to assigned initial and final configuration, following
and generalizing to many respects a procedure conceived by Thuan & Gott (1975).
The dependence of the limiting axis ratios, below which no configuration is
allowed for the sequence under consideration, on the change in mass, total
energy, and angular momentum, during the evolution, is illustrated in some
representative situations. The dependence of axis ratios and rotation
parameters on an additional parameter, related to the initial conditions of the
density perturbation, is analysed in connection with a few special cases.
Within the range of Peebles (1969) rotation parameter, inferred from
high-resolution numerical simulations, the shape of dark matter haloes is
mainly decided by the amount of anisotropy in residual velocity distribution.
On the other hand, the contribution of rotation has only a minor effect on the
meridional plane, and no effect on the equatorial plane, as bifurcation points
occur for larger values of Peebles (1969) rotation parameter. To this respect,
dark matter haloes are found to resemble giant elliptical galaxies.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ