On the linear stability of polytropic fluid spheres in $R^2$ gravity

Abstract

Within $R^2$ gravity, we study the linear stability of strongly gravitating spherically symmetric configurations supported by a polytropic fluid. All calculations are carried out in the Jordan frame. It is demonstrated that, as in general relativity, the transition from stable to unstable systems occurs at the maximum of the curve mass-central density of the fluid.

arXiv comment8 pages, 2 figures, some corrections to content, new reference added, version published in IJGMMP

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Cited by in corpus (3)

• Compact stars in Rastall gravity: hydrostatic equilibrium and radial pulsations
• Strongest constraint in $f(R)=R+\alpha R^2$ gravity: stellar stability
• Gravitational Collapse of Anisotropic Compact Stars in Modified $f(R)$ Gravity