Gravitational collapse in generalized teleparallel gravity

Abstract

The idea of this work is to exhibit the unstable regions of a self-gravitating celestial object which collapses adiabatically with a non-vanishing expansion scalar. We adopted the generalized teleparallel gravity for a plane-symmetric self-gravitating object and matter distribution as dissipative and anisotropic. We analyzed the instability regions of the stellar model by considering a particular model, i.e., $\beta T + \gamma T^{n}$ . We established the basic dynamical equations together with junction conditions and equation of state proposed by Harrison et al. The linear perturbation strategy is applied to the metric, matter and f (T) function up to first order. The equations of motion are developed under this perturbative framework to construct collapse equation. We demonstrate the unstable phases at weak field limit and post-Newtonian epochs and deduce a vital role of adiabatic index to explain the stability/instability issues for planar model in f (T) gravity.