On the linear stability of polytropic fluid spheres in $R^2$ gravity
General Relativity and Quantum Cosmology
2020-09-29 v2
Abstract
Within 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.
Keywords
Cite
@article{arxiv.2007.10579,
title = {On the linear stability of polytropic fluid spheres in $R^2$ gravity},
author = {Vladimir Dzhunushaliev and Vladimir Folomeev},
journal= {arXiv preprint arXiv:2007.10579},
year = {2020}
}
Comments
8 pages, 2 figures, some corrections to content, new reference added, version published in IJGMMP