Dynamical Instability of Spherical Star in $f(R,T)$ gravity

Abstract

This work is based on stability analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment in $f(R,T)$ gravity, where $R$ is Ricci scalar and $T$ corresponds to the trace of energy momentum tensor. Field equations and dynamical equations are presented in the context of $f(R,T)$ gravity. Perturbation schem is employed on dynamical equations to find the collapse equation. Furthermore, condition on adiabatic index $\Gamma$ is constructed for Newtonian and post-Newtonian eras to address instability problem. Some constraints on physical quantities are imposed to maintain stable stellar configuration. The results in this work are in accordance with $f(R)$ gravity for specific case.

arXiv comment16 page, to appear in Astrophysics and Space Science

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• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
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• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Propagation of Polar Gravitational Waves in f(R,T) Scenario
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Local fragmentation of thin disks in Eddington-inspired gravity
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Local stability of self-gravitating disks in $f(R)$ gravity
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Dynamics of General Barotropic Stellar Fluid in the Framework of $R+2\alpha T$ Gravity