Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local stability of self-gravitating disks in $f(R)$ gravity   In the framework of metric $f(R)$ gravity, we find the dispersion relation
for the propagation of tightly wound spiral density waves in the surface of
rotating, self-gravitating disks. Also, new Toomre-like stability criteria for
differentially rotating disks has been derived for both fluid and stellar
disks.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org