Radial stability in stratified stars

TL;DR

This paper develops a generalized distributional framework to analyze radial stability in stratified stars, considering both neutral and charged cases in Newtonian and Einstein gravity, highlighting the impact of phase transitions on stellar eigenmodes.

Contribution

It introduces a novel distributional approach to model radial stability in stratified stars, including boundary conditions for phase transitions in both Newtonian and Einstein gravity.

Findings

Boundary conditions for phases within stars derived

Eigenmodes modified by phase transitions identified

Applicable to realistic models of compact stars

Abstract

We formulate within a generalized distributional approach the treatment of the stability against radial perturbations for both neutral and charged stratified stars in Newtonian and Einstein's gravity. We obtain from this approach the boundary conditions connecting two any phases within a star and underline its relevance for realistic models of compact stars with phase transitions, owing to the modification of the star's set of eigenmodes with respect to the continuous case.