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

Ifra NoureenDepartment of Mathematics, SST, University of Management and Technology, Lahore, 54770, PakistanM. ZubairDepartment of Mathematics, COMSATS Institute of Information Technology, Lahore, 54700, PakistanA. BhattiDepartment of Mathematics, SST, University of Management and Technology, Lahore, 54770, PakistanG. AbbasDepartment of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan
2015en
ABI

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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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