Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...197..203d&link_type=abstract
Astrophysical Journal, vol. 197, Apr. 1, 1975, pt. 1, p. 203-217.
Astronomy and Astrophysics
Astrophysics
41
Astronomical Models, Calculus Of Variations, Gravitational Waves, Neutron Stars, Relativity, Equations Of State, Radiant Flux Density, Variational Principles, Vibration Damping, Vibration Mode
Scientific paper
A variational calculation of the fundamental frequencies of quadrupole oscillation of relativistic neutron star models for a variety of equations of state and central densities. Typical periods and damping times are on the order of milliseconds and seconds, respectively, in agreement with earlier estimates obtained by Thorne in a different manner. For spheres of incompressible fluids, the analyses indicate that the fundamental quadrupole mode becomes unstable as 2M/R attains its limiting value of 8/9.
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