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

2000/02/19 by Vahid Rezania, Rezania, Vahid
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0002070

Ph. D. Thesis, 131 pages

arxiv created 2000/02/19 · openalex publication_date 2000/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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