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

Journal Article · Sun May 15 00:00:00 EDT 2016 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776116040075· OSTI ID:22617280

Sharif, M., E-mail: [e-mail] ^[1]; Manzoor, R., E-mail: [e-mail] ^[2]

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1. University of the Punjab, Department of Mathematics (Pakistan)
2. University of Management and Technology, Department of Mathematics (Pakistan)

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.

• OSTI ID: 22617280
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 122, Issue 5; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
APPROXIMATIONS
CYLINDRICAL CONFIGURATION
FIELD EQUATIONS
FILAMENTS
FLUIDS
GRAVITATION
INSTABILITY
SYMMETRY