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arXiv · 1504.04367

Instability of Meridional Axial System in f(R) Gravity

M. Sharif·Z. Yousaf
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Abstract

We analyze dynamical instability of non-static reflection axial stellar structure by taking into account generalized Euler's equation in metric $f(R)$ gravity. Such an equation is obtained by contracting Bianchi identities of usual anisotropic and effective stress-energy tensors, which after using radial perturbation technique gives modified collapse equation. In the realm of $R+εR^n$ gravity model, we investigate instability constraints at Newtonian and post-Newtonian approximations. We find that instability of meridional axial self-gravitating system depends upon static profile of structure coefficients while $f(R)$ extra curvature terms induce stability to the evolving celestial body.

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M. Sharif, Z. Yousaf. 2015-04-16. Instability of Meridional Axial System in f(R) Gravity. https://doi.org/10.1140/epjc%2Fs10052-015-3415-8

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