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arXiv · 1411.5676

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

Ifra Noureen·M. Zubair
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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 $Γ$ 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.

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BibTeXRIS

Ifra Noureen, M. Zubair. 2014-11-20. Dynamical Instability of Spherical Star in $f(R,T)$ gravity. https://doi.org/10.1007/s10509-014-2202-6

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