# Shear-free condition and dynamical instability in f(R, T) gravity

The European Physical Journal C, Jul 2015

The implications of the shear-free condition on the instability range of an anisotropic fluid in f(R, T) are studied in this manuscript. A viable f(R, T) model is chosen to arrive at stability criterion, where R is Ricci scalar and T is the trace of energy-momentum tensor. The evolution of a spherical star is explored by employing a perturbation scheme on the modified field equations and contracted Bianchi identities in f(R, T). The effect of the imposed shear-free condition on the collapse equation and adiabatic index $\Gamma$ is studied in the Newtonian and post-Newtonian regimes.

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Ifra Noureen, M. Zubair, A. A. Bhatti, G. Abbas. Shear-free condition and dynamical instability in f(R, T) gravity, The European Physical Journal C, 2015, 323, DOI: 10.1140/epjc/s10052-015-3547-x