Normal modes of relativistic systems in post-Newtonian approximation and the stability curve of r-modes

Details Normal modes of relativistic systems in post-Newtonian approximation and the stability curve of r-modes Normal modes of relativistic systems in post-Newtonian approximation and the stability curve of r-modes

2000-02-19

arxiv.org/abs/gr-qc/0002070v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Ph. D. Thesis, 131 pages

Scientific paper

In part I, we use the post-Newtonian (pn) order of Liouville's equation to study the normal modes of oscillation of a spherically symmetric relativistic system. Perturbations that are neutral in Newtonian approximation develop into a new sequence of normal modes. In part II, stability curve of r-modes of neutron stars are calculated by considering vorticity-shear viscosity coupling. As an application, the loss of angular momentum through gravitational radiation, driven by the excitation of r-modes, is considered in neutron stars having rotation frequencies smaller than the associated critical frequency.

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