https://doi.org/10.1140/epjc/s10052-015-3496-4
Regular Article - Theoretical Physics
Evolution of axially 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:
25
May
2015
Accepted:
29
May
2015
Published online:
16
June
2015
We discuss the dynamical analysis in f(R, T) gravity (where R is the Ricci scalar and T is the trace of the energy momentum tensor) for gravitating sources carrying axial symmetry. The self-gravitating system is taken to be anisotropic and the line element describes an axially symmetric geometry avoiding rotation about the symmetry axis and meridional motions (zero vorticity case). The modified field equations for axial symmetry in f(R, T) theory are formulated, together with the dynamical equations. Linearly perturbed dynamical equations lead to the evolution equation carrying the adiabatic index 
, which defines the impact of a non-minimal matter to geometry coupling on the range of instability for Newtonian and post-Newtonian approximations.
© The Author(s), 2015
