Stability of polar oscillations of non-rotating Newtonian superfluid stars

Details Stability of polar oscillations of non-rotating Newtonian superfluid stars Stability of polar oscillations of non-rotating Newtonian superfluid stars

Jun 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009mnras.396..439w&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 396, Issue 1, pp. 439-461.

Astronomy and Astrophysics

Astronomy

Convection, Hydrodynamics, Instabilities, Stars: Neutron

Scientific paper

In this paper, we shall study the problem of stability of polar oscillations of a non-rotating Newtonian superfluid star. We find that the stability of the latter system is guaranteed by the positive definiteness of a matrix quantity. We also find conditions which characterize the occurrence of zero-frequency polar modes, which marks the onset of polar instability. We find that the negative definiteness of the mentioned matrix quantity implies instability of the system. We apply our results to show that the polar oscillations of a non-rotating Newtonian superfluid star in the zero-temperature approximation are marginally stable.

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