Electromagnetic field and dynamical instability of collapse with CDTT model

This work investigates the dynamical instability of the relativistic self-gravitating collapsing fluids with electromagnetic field in Carrol-Duvvuri-Trodden-Turner (CDTT) f(R) model for spherical symmetric spacetime. In this scenario, we provide dynamical equations from the contracted Bianchi identities for the usual, effective dark source and electromagnetic energy-momentum tensor. The perturbation technique is used on the metric variables which ultimately induce perturbation on the selected f(R) model and on the physical variables. We conclude that higher curvature terms of CDTT model, density profile, electromagnetism and pressure anisotropy affect the range of instability at the Newtonian and post Newtonian regimes. It is worthwhile to mention here that our results approach asymptotically to general relativity solutions when δ→0.