Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....53..283h&link_type=abstract
Astronomy and Astrophysics, vol. 53, no. 2, Dec. 1976, p. 283-287. Research supported by the Deutsche Forschungsgemeinschaft.
Astronomy and Astrophysics
Astrophysics
13
Dynamic Stability, Neutron Stars, Pulsars, Relativity, Static Stability, Stellar Models, Anisotropy, Astrodynamics, Astronomical Models, Equations Of State, Stellar Mass
Scientific paper
The problem of stability of fully relativistic neutron-star models, which are constructed from plausible assumptions about an anisotropic equation of state, is analyzed in the framework of general relativity. The differential equations for radial pulsation of such models are derived, and results of numerical solutions are presented. It is shown that there exists a static stability criterion similar to the one obtained for isotropic models. Moreover, there is in principle no limiting mass for arbitrarily large anisotropy, and these models are still stable against radial pulsations. Nonradial pulsations are analyzed in the Newtonian approximation for some simplified models. Again no dynamical instabilities are found.
Hillebrandt Wolfgang
Steinmetz K. O.
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