Instability of Meridional Axial System in f(R) Gravity

Abstract

We analyze dynamical instability of non-static reflection axial stellar structure by taking into account generalized Euler's equation in metric $f(R)$ gravity. Such an equation is obtained by contracting Bianchi identities of usual anisotropic and effective stress-energy tensors, which after using radial perturbation technique gives modified collapse equation. In the realm of $R+\epsilon R^n$ gravity model, we investigate instability constraints at Newtonian and post-Newtonian approximations. We find that instability of meridional axial self-gravitating system depends upon static profile of structure coefficients while $f(R)$ extra curvature terms induce stability to the evolving celestial body.

29 pages, accepted for publication in EPJC

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• Existence of Compact Structures in $f(R,T)$ Gravity
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Stability Analysis of Stellar Radiating Filaments
• Evolution of Compact Stars and Dark Dynamical Variables
• Stability of Anisotropic Stellar Filaments
• Spatially Hyperbolic Gravitating Sources in $\Lambda$-Dominated Era
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
• Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Quasi Static Evolution of Compact Objects in Modified Gravity
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Stability Analysis of Axial Reflection Symmetric Spacetime
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy