Expansionfree Fluid Evolution and Skripkin Model in f(R) Theory

Abstract

We consider the modified $f(R)$ theory of gravity whose higher order curvature terms are interpreted as a gravitational fluid or dark source. The gravitational collapse of a spherically symmetric star, made up of locally anisotropic viscous fluid, is studied under the general influence of the curvature fluid. Dynamical equations and junction conditions are modified in the context of f(R) dark energy and by taking into account the expansionfree evolution of the self-gravitating fluid. As a particular example, the Skripkin model is investigated which corresponds to isotropic pressure with constant energy density. The results are compared with corresponding results in General Relativity.

18 pages, accepted for publication Int. J. Mod. Phys. D

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• Constraining f(R) theories with the energy conditions
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• Charged Cylindrical Collapse of Anisotropic Fluid
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Cited by in corpus (10)

• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• Dynamics of Shearfree Dissipative Collapse in f(G) Gravity
• Cylindrically Symmetric Solutions in $f(R,T)$ Gravity
• Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Compact Objects by Gravitational Decoupling in f(R) Gravity
• Gravitational Dust Collapse in $f(R)$ Gravity
• Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources
• Effects of CDTT Model on the Dynamical Instability of Cylindrically Symmetric Collapsing Stars
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity