Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformally Flat Collapsing Stars in f (R) gravity   The present work includes an analytical investigation of a collapsing
spherical star in f (R) gravity. The interior of the collapsing star admits a
conformal flatness. Information regarding the fate of the collapse is extracted
from the matching conditions of the extrinsic curvature and the Ricci curvature
scalar across the boundary hypersurface of the star. The radial distribution of
the physical quantities such as density, anisotropic pressure and radial heat
flux are studied. The inhomogeneity of the collapsing interior leads to a
non-zero acceleration. The divergence of this acceleration and the loss of
energy through a heat conduction forces the rate of the collapse to die down
and the formation of a zero proper volume singularity is realized only
asymptotically.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph