Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity

Abstract

Dynamical analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment with expansion-free condition is presented in $f(R,T)$ gravity, where $R$ corresponds to Ricci scalar and $T$ stands for the trace of energy momentum tensor. The modified field equations and evolution equations are reconstructed in the framework of $f(R,T)$ gravty. In order to acquire the collapse equation we implement the perturbation on all matter variables and dark source components comprising the viable $f(R,T)$ model. The instability range is described in Newtonian and post-Newtonian eras by constraining the adiabatic index $\Gamma$ to maintain viability of considered model and stable stellar configuration.

22 pages

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• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Invariant Bianchi type I models in $f\left(R,T\right)$ Gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Coincidence Problem in f(T) Gravity Models
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• Matter perturbations in Einstein dark energy model
• Metric-Affine Myrzakulov Gravity Theories