Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse

Details Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse

2011-09-14

arxiv.org/abs/1109.3010v1

JCAP 07(2011)022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, no figure. arXiv admin note: text overlap with arXiv:1108.2666

Scientific paper

Dark energy models based on f(R) theory have been extensively studied in literature to realize the late time acceleration. In this paper, we have chosen a viable f(R) model and discussed its effects on the dynamical instability of expansionfree fluid evolution generating a central vacuum cavity. For this purpose, contracted Bianchi identities are obtained for both the usual matter as well as dark source. The term dark source is named to the higher order curvature corrections arising from f(R) gravity. The perturbation scheme is applied and different terms belonging to Newtonian and post Newtonian regimes are identified. It is found that instability range of expansionfree fluid on external boundary as well as on internal vacuum cavity is independent of adiabatic index $\Gamma$ but depends upon the density profile, pressure anisotropy and f(R) model.

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