https://doi.org/10.1140/epjc/s10052-017-4723-y
Regular Article - Theoretical Physics
Dynamical analysis of cylindrically symmetric anisotropic sources in f(R, T) gravity
1
Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan
2
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
* e-mail: mzubairkk@gmail.com
** e-mail: drmzubair@ciitlahore.edu.pk
Received:
7
February
2017
Accepted:
13
February
2017
Published online:
17
March
2017
In this paper, we have analyzed the stability of cylindrically symmetric collapsing object filled with locally anisotropic fluid in f(R, T) theory, where R is the scalar curvature and T is the trace of stress-energy tensor of matter. Modified field equations and dynamical equations are constructed in f(R, T) gravity. The evolution or collapse equation is derived from dynamical equations by performing a linear perturbation on them. The instability range is explored in both the Newtonian and the post-Newtonian regimes with the help of an adiabetic index, which defines the impact of the physical parameters on the instability range. Some conditions are imposed on the physical quantities to secure the stability of the gravitating sources.
© The Author(s), 2017