Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources

Abstract

We study the implications of $R^n$ 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 $\Gamma$ 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.

20 pages

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Cited by in corpus (6)

• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Charged strange star in $f(R,T)$ gravity with linear equation of state
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Cosmological reconstruction and energy bounds in $f(R,R_{\alpha \beta }{R}^{\alpha \beta },\varphi )$ gravity
• Axially Symmetric Shear-free Fluids in $f(R,T)$ Gravity