arXiv:1705.09880·v1·High Energy Astrophysical Phenomena
On the stability of strange dwarf hybrid stars
Mark G. Alford · Steven P. Harris · Pratik S. Sachdeva
Abstract
We investigate the stability of stars with a density discontinuity between a high-density core and a very low density mantle. Previous work on "strange dwarfs" suggested that such a discontinuity could stabilize stars that would have been classified as unstable by the conventional criteria based on extrema in the mass-radius relation. We investigate the stability of such stars by numerically solving the Sturm-Liouville equations for the lowest-energy modes of the star. We find that the conventional criteria are correct, and strange dwarfs are not stable.
Comments: 6 pages, 7 figures