A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction
General Relativity and Quantum Cosmology
2009-11-10 v1 Astrophysics
Abstract
R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode-mode coupling. Modelling the star as incompressible allows the analytic computation of the coupling coefficients. All couplings up to n=30 are obtained, and analytic values for the shear damping and mode normalization are presented. In a subsequent paper we perform numerical simulations of a large set of coupled modes.
Keywords
Cite
@article{arxiv.gr-qc/0409048,
title = {A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction},
author = {Jeandrew Brink and Saul A. Teukolsky and Ira Wasserman},
journal= {arXiv preprint arXiv:gr-qc/0409048},
year = {2009}
}
Comments
15 pages 3 figures