Stability of the charged spherical dissipative collapse in f(R) gravity

We analyse the dynamical instability of the charged isotropic spherical symmetric matter distribution which collapses non-adiabatically in Carrol–Duvvuri–Trodden–Turner (CDTT) f (R) model background. The perturbation scheme is applied on the metric variables which automatically impart perturbations on the selected f (R) model as well as on the matter variables. We find that the adiabatic index Γ plays a key role in defining the dynamical instability ranges at both Newtonian as well as post-Newtonian regimes. It is concluded that Γ depends upon the higher curvature terms of CDTT model, radial density profile, electromagnetic field and pressure of the fluid, while heat flux does not affect the dynamical instability limits. We also explore our results asymptotically with general relativity limits.

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