Instability analysis of a cylindrical stellar object in Brans–Dicke gravity


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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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M. Sharif

Department of Mathematics

编辑信件的主要联系方式.
Email: msharif.math@pu.edu.pk
巴基斯坦, Lahore, 54590

R. Manzoor

Department of Mathematics

Email: msharif.math@pu.edu.pk
巴基斯坦, Lahore, 54782

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