Instability Analysis of Cylindrical Stellar Object in Brans-Dicke Gravity

Abstract

This paper investigates instability ranges of a cylindrically symmetric collapsing stellar object in Brans-Dicke theory of gravity. For this purpose, we use perturbation approach in the modified field equations as well as dynamical equations and construct a collapse equation. The collapse equation with adiabatic index ($\Gamma$) is used to explore the instability ranges of both isotropic as well as anisotropic fluid in Newtonian and post-Newtonian approximations. It turns out that the instability ranges depend on the dynamical variables of collapsing fluid. We conclude that the system always remains unstable for $0<\Gamma <1$ while $\Gamma >1$ provides instability only for the special case.

20 pages, no figure

References in corpus (1)

• Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology

Cited by in corpus (1)

• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity