https://doi.org/10.1140/epjc/s10052-015-3547-x
Regular Article - Theoretical Physics
Shear-free condition and dynamical instability in f(R, T) gravity
1
Department of Mathematics, SST, University of Management and Technology, Lahore, 54770, Pakistan
2
Department of Mathematics, COMSATS Institute of Information Technology, Lahore, 54700, Pakistan
3
Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan
* e-mail: mzubairkk@gmail.com
** e-mail: drmzubair@ciitlahore.edu.pk
Received:
10
June
2015
Accepted:
26
June
2015
Published online:
11
July
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 
is studied in the Newtonian and post-Newtonian regimes.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
