Abstract
This paper investigates instability ranges of a cylindrically symmetric collapsing cosmic filamentary structure in the Brans–Dicke theory of gravity. For this purpose, we use a perturbating approach to the modified field equations as well as dynamic equations and construct a collapse equation. The collapse equation with an adiabatic index (Γ) is used to explore the instability ranges of both isotropic and anisotropic fluid in Newtonian and post-Newtonian approximations. It turns out that the instability ranges depend on the dynamic variables of collapsing filaments. We conclude that the system always remains unstable for 0 < Γ < 1, while Γ > 1 provides instability only in a special case.
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Sharif, M., Manzoor, R. Instability analysis of a cylindrical stellar object in Brans–Dicke gravity. J. Exp. Theor. Phys. 122, 849–858 (2016). https://doi.org/10.1134/S1063776116040075
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DOI: https://doi.org/10.1134/S1063776116040075