Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.276..965j&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 276, Issue 3, pp. 965-970.
Astronomy and Astrophysics
Astronomy
1
Gravitation, Hydrodynamics, Relativity, Stars: Neutron, Stars: Oscillations
Scientific paper
The non-radial oscillations of a general-relativistic incompressible fluid sphere are considered as a means of introducing a new (and very simple) Cowling approximation, in which the space-time metric is not perturbed at all. An f-mode spectrum is thus derived, reasonably accurate for l>=7, which shows how these frequencies depend upon the density and the Schwarzschild parameter S=2M/R. Previous work by Detweiler has indicated that the quadrupole frequency is determined by the density alone, for values of S in the range which characterizes neutron stars; taken together, these results suggest an observational scheme by which an empirical mass-radius relation for neutron stars might be determined, and a firm upper limit on their masses established.
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