Dynamics of Axial Symmetric System in Self-Interacting Brans-Dicke Gravity

Abstract

This paper investigates dynamics of axial reflection symmetric model in self-interacting Brans-Dicke gravity for anisotropic fluid. We formulate hydrodynamical equations and discuss oscillations using time-dependent perturbation for both spin as well as spin-independent cases. The expressions of frequency, total energy density and equation of motion of oscillating model are obtained. We study instability of 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 $\Gamma =1$, collapses for $\Gamma >1$ and becomes unstable for $0<\Gamma <1$.

24 pages, no figure, accepted for publication in publication in Eur. Phys. J. C

References in corpus (4)

• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• Shear-free axially symmetric dissipative fluids
• Dynamics and cosmological constraints on Brans-Dicke cosmology
• Stability Analysis of Axial Reflection Symmetric Spacetime

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