Electromagnetic field and dynamical instability of cylindrical collapse in f(R) gravity

The aim of this paper is to analyse the role of electromagnetic field and a viable Carroll–Duvvuri–Trodden–Turner (CDTT) model, |$f(R)=R+\rho \frac{{\delta }^4}{R}$|⁠, in the range of dynamical instability. We assume non-viscous charged collapsing cylindrical star with heat flux dissipation. We formulate dynamical equations through perturbation scheme on the metric variables which eventually cause perturbation on physical variables as well as chosen f (R) model. The evolution of the matter variables is discussed with the help of these equations. It is concluded that the range of dynamical instability depends upon the electric field intensity, density profile, pressure and the curvature terms of the CDTT model. We find that our results of Newtonian and post-Newtonian regimes reduce asymptotically to General Relativity solutions as δ → 0.

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