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arXiv · 1511.03655

Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity

Abdul Jawad·Davood Momeni·Shamaila Rani·Ratbay Myrzakulov
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Abstract

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

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Abdul Jawad, Davood Momeni, Shamaila Rani, Ratbay Myrzakulov. 2016-03-15. Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity. https://doi.org/10.1007/s10509-016-2721-4

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