Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Anisotropic Stellar Filaments   The study of perturbation of self-gravitating celestial cylindrical object
have been carried out in this paper. We have designed a framework to construct
the collapse equation by formulating the modified field equations with the
background of $f(R,T)$ theory as well as dynamical equations from the
contracted form of Bianchi identities with anisotropic matter configuration. We
have encapsulated the radial perturbations on metric and material variables of
the geometry with some known static profile at Newtonian and post-Newtonian
regimes. We examined a strong dependence of unstable regions on stiffness
parameter which measures the rigidity of the fluid. Also, the static profile
and matter variables with $f(R,T)$ dark source terms control the instability of
compact cylindrical system.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex