Other
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245..508m&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 245, NO. 1/JUL1, P. 508, 1990
Other
16
Scientific paper
Density discontinuities produced by abrupt composition transitions may play an important role in determining the g-mode pulsation properties of some stars. The restoring force acting on a perturbed element of matter undergoing g-mode oscillations results from a competition between gravitational forces and buoyancy forces. Normally it is the smooth variation of entropy that is responsible for the buoyancy. If a density discontinuity is present it can locally contribute to, or even become, the dominant source of buoyancy. In the absence of `normal' sources of buoyancy, a density discontinuity will result in a single g-mode for a given spherical harmonic index l. To isolate the effects of a density discontinuity we neglect all sources of buoyancy except that produced by a single density discontinuity near the stellar surface. Under these circumstances it is possible to derive an approximate analytic expression for the adiabatic frequency and fluid motion of the g-modes. The results agree very well with the numerical solution of the pulsation equations for g-modes in an n = 3/2 (Γ1 = 1 + 1/n = 5/3) polytrope carried out by Finn. This analysis affords easy study of the effects of a discontinuity in isolation, and provides a simple analytical method of estimating the importance of such discontinuities in stellar models in which other sources of buoyancy are present. A discussion of the impact of density discontinuities on the g-mode spectrum of realistic neutron star models is included.
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