Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity

Abstract

This paper is devoted to investigate the cylindrical collapse of an anisotropic fluid in $f(R)$ gravity. For this purpose, the viscous charged anisotropic fluid dissipating energy with heat flow and shear is assumed. We use the perturbation scheme to develop the dynamical equations for the variables that ultimately lead to the disturbance of the physical variables and the Starobinksy like $f(R)$ model chosen. The evolution of the matter variables is discussed with the help of these equations. It can be concluded that the range of dynamic instabilities depends on the field strength, density distribution, pressure and the curvature term of the $f(R)$ model. We find that our results of Newtonian and post-Newtonian regimes reduce asymptotically to general relativity solutions in the limiting case.

arXiv comment20 pages, accepted for publication in Canadian Journal of Physics

References in corpus (30)

• f(R) Theories Of Gravity
• Disappearing cosmological constant in f(R) gravity
• Spherically symmetric dissipative anisotropic fluids: A general study
• Recent developments in gravitational collapse and spacetime singularities
• Dynamics of dissipative gravitational collapse
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Why do naked singularities form in gravitational collapse?
• Dynamical instability and the expansion-free condition
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Transport processes in anisotropic gravitational collapse
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• A causal model of radiating stellar collapse
• Thermal evolution of a radiating anisotropic star with shear
• Curvature scalar instability in f(R) gravity
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• f(R) gravity, torsion and non-metricity
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Higher-order gravity and the cosmological background of gravitational waves
• Relaxational effects in radiating stellar collapse
• Dust Static Spherically Symmetric Solution in $f(R)$ Gravity
• Gravitational Collapse of Self-Similar and Shear-free Fluid with Heat Flow
• Dissipative Cylindrical Collapse of Charged Anisotropic Fluid
• Effects of f(R) Dark Energy on Dissipative Anisotropic Collapsing Fluid
• Collapse and Expansion of Anisotropic Plane Symmetric Source
• Radiating Gravitational Collapse with Shearing Motion and Bulk Viscosity Revisited
• Expansionfree Fluid Evolution and Skripkin Model in f(R) Theory
• Newtonian and Post Newtonian Expansionfree Fluid Evolution in f(R) Gravity
• Dynamical Stability of Collapsing Stars in Einstein Gauss-Bonnet Gravity

Cited by in corpus (2)

• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity