Dynamical stability of bootstrapped Newtonian stars
arxiv(2024)
摘要
We investigate the dynamical stability of bootstrapped Newtonian stars
following homologous adiabatic perturbations, focusing on objects of low or
intermediate compactness. The results show that for stars with homogeneous
densities these perturbations induce some oscillatory behaviour regardless of
their compactness, density and adiabatic index, which makes them dynamically
stable. In the case or polytropes with density profiles approximated by
Gaussian distributions, both stable and unstable behaviours are possible. It
was also shown that in the limit in which the density profile of the Gaussian
density distribution flattens out, the parameter space for which the
perturbations result in an oscillatory behaviour increases, which is in
agreement with the case of stars with homogeneous densities.
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