Abstract:
This paper is devoted to an analysis of the dynamical instability of a self-gravitating object that undergoes
a collapse process. We take the framework of generalized
teleparallel gravity with a cylindrically symmetric gravitating object. The matter distribution is represented by a locally anisotropic energy-momentum tensor. We develop basic equations such as the dynamical equations along with
the matching conditions and the Harrison–Wheeler equation of state. By applying a linear perturbation strategy,
we construct a collapse equation, which is used to obtain
the instability ranges in the Newtonian and post-Newtonian
regimes. We find these ranges for isotropic pressure and reduce to the results in general relativity. The unstable behavior depends on matter-, metric-, mass-, and torsion-based
terms.
