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Title: Instability of a dissipative restricted non-static axial collapse with shear viscosity in f(R) gravity

This paper investigates stability regions for a non-static restricted class of axially symmetric geometry filled with anisotropic, heat radiating and shearing viscous fluid that collapses non-adiabatically. In this context, dynamical equations as well as collapse equation are constructed through perturbation scheme with f(R) = R+εR{sup 2} model. We then develop dynamical instability regions at Newtonian and post-Newtonian eras. It is concluded that pressure anisotropy and heat dissipation increases the instability regions of the collapsing system while shearing viscosity as well as f(R) dark sourced terms decrease them during collapse. Finally, we calculate our results under constant curvature condition and GR limit, i.e., f(R)→R.
Authors:
;  [1]
  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan. (Pakistan)
Publication Date:
OSTI Identifier:
22373536
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; AXIAL SYMMETRY; ENERGY LOSSES; EQUATIONS; GEOMETRY; GRAVITATION; HEAT TRANSFER; INSTABILITY; PERTURBATION THEORY; SHEAR; SOURCE TERMS; THERMAL DIFFUSIVITY; THERMAL EFFLUENTS