On the linear stability of polytropic fluid spheres in R2 gravity

2020

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DOI 10.1142/s0219887820501650
Data confidence 85 high
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Abstract

Within [Formula: see text] 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.