Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase analyses for compact, charged boson stars and shells harboring
  black holes in the $\mathbb{C}P^N$ nonlinear sigma model   Phase diagrams of the boson stars and shells of the $U(1)$ gauged
$\mathbb{C}P^N$ nonlinear sigma model are studied. The solutions of the model
exhibit both the ball- and the shell-shaped charge density depending on $N$.
There appear four independent regions of the solutions which are essentially
caused from the coexistence of electromagnetism and gravity. We examine several
phase diagrams of the boson stars and the shells and discuss what and how the
regions are emerged. A coupling with gravity allows for harboring of the
charged black holes for the $Q$-shell solutions. Some solutions are strongly
affected by the presence of the black holes and they allow to be smoothly
connected. As a result, the regions are integrated by the harboring black
holes.

3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat