Abstract
We exhibit the dynamical instability of cylindrical compact object in the gravitational field of f(T) gravity, which is the simplest modification of teleparallel theory (TPT). We explore the field equations and conservation laws to provide the extra degrees of freedom governed by f(T) gravity. We investigate the behavior of small perturbations on geometric and material profile in the background of collapsing fluid configuration. The un/stable eras are studied under Newtonian (N) and post-Newtonian (pN) approximations. Our results show that the stiffness parameter has major role in determining the un/stable epochs of cylindrical object. The dark source terms of f(T) gravity lead to relatively more unstable configuration during its evolutionary process.
Published Version
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