Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental vibrational mode in a highly inhomogeneous star   The eigenfrequency problem of fundamental vibrational mode in a highly
inhomogeneous star, modeled by self-gravitating mass of viscous liquid with
singular density at the center, is considered in juxtaposition with that for
Kelvin fundamental mode in the liquid star model with uniform density.
Particular attention is given to the difference between spectral equations for
the frequency and lifetime of f-mode in the singular and homogeneous star
models. The newly obtained results are discussed in the context of theoretical
asteroseismology of pre-white dwarf stars and stellar cocoons -- spherical
gas-dust clouds with dense star-forming core at the center.

2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph