Turning-point method for axisymmetric stability of rotating relativistic stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Relativistic Velocity, Stellar Motions, Stellar Rotation, Angular Momentum, Neutron Stars, Perturbation Theory, Polytropic Processes, Secular Variations

Scientific paper

A turning-point method is used to obtain a simple criterion governing the secular stability of uniformly rotating relativistic stars to axisymmetric perturbations. In particular, along a sequence of rotating neutron stars with fixed angular momentum and increasing central density, the configuration with maximum mass marks the onset of instability.

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