2017
DOI: 10.3847/1538-4357/aa8509
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On the Stability of Strange Dwarf Hybrid Stars

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 ar… Show more

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Cited by 30 publications
(35 citation statements)
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“…When considering twin starts, there may be more than one stable branch, so it is important to continue to solve the TOV equations passed the first stable branch. Note that the second branch is only stable if the mass-radius curve rotates clockwise with increasing central pressure at the extremum that gives raise to it [89]. Alternatively, a slow conversion from hadronic to quark phase inside stars could turn dM/dε c < 0 stars dynamic stable due to how the phase interface moves under stellar pulsation (see Ref.…”
Section: A Observable Quantitiesmentioning
confidence: 99%
“…When considering twin starts, there may be more than one stable branch, so it is important to continue to solve the TOV equations passed the first stable branch. Note that the second branch is only stable if the mass-radius curve rotates clockwise with increasing central pressure at the extremum that gives raise to it [89]. Alternatively, a slow conversion from hadronic to quark phase inside stars could turn dM/dε c < 0 stars dynamic stable due to how the phase interface moves under stellar pulsation (see Ref.…”
Section: A Observable Quantitiesmentioning
confidence: 99%
“…[45]). They might also shed light onto the phenomenology of strange dwarfs, which seem to be unstable under radial perturbations [46,47], or more exotic forms including the existence of condensed dark matter in neutron stars [48] and strange stars [49].…”
Section: Summary and Final Remarksmentioning
confidence: 99%
“…The other method consists in solving the relevant Sturm-Liouville equation to explicitly obtain the radial oscillation eigenmodes, following [85]. This is used by [58,86] and by us in what follows.…”
mentioning
confidence: 99%