Eur. Phys. J. C (2016) 76: 330
https://doi.org/10.1140/epjc/s10052-016-4161-2

Regular Article - Theoretical Physics

Dynamics of axial symmetric system in self-interacting Brans–Dicke gravity

¹ Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
² Department of Mathematics, University of Management and Technology, Johar Town Campus, Lahore, 54782, Pakistan

^* e-mail: msharif.math@pu.edu.pk

Received: 7 February 2016
Accepted: 16 May 2016
Published online: 16 June 2016

Abstract

This paper investigates the dynamics of an axial reflection symmetric model in self-interacting Brans–Dicke gravity for anisotropic fluid. We formulate hydrodynamical equations and discuss oscillations using a time-dependent perturbation for both spin-dependent and spin-independent cases. The expressions of the frequency, the total energy density, and the equation of motion of the oscillating model are obtained. We study the instability of the oscillating models in weak approximations. It is found that the oscillations and stability of the model depend upon the dark energy source along with anisotropy and reflection effects. We conclude that the axial reflection system remains stable for stiffness parameter , collapses for , and becomes unstable for .