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

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

2011-07-30

arxiv.org/abs/1108.2666v1

Int. J. Mod. Phys. D20(2011) 2239-2252

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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