(Journal of Cosmology and Astroparticle Physics, 2015) Ifra Noureen; Abdul Aziz Bhatti; M. Zubair
We study the implications of Rn extension of Starobinsky model on dynamical
instability of Vorticity-free axially symmetric gravitating body. The matter distribution is
considered to be anisotropic for which modified field equations are formed in context of
f(R) gravity. In order to achieve the collapse equation, we make use of the dynamical
equations, extracted from linearly perturbed contracted Bianchi identities. The collapse
equation carries adiabatic index in terms of usual and dark source components, defining
the range of stability/insatbility in Newtonian (N) and post-Newtonian (pN) eras. It is found
that supersymmetric supergravity f(R) model represents the more practical substitute of
higher order curvature corrections.