A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction

Details A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction

2004-09-10

arxiv.org/abs/gr-qc/0409048v1

Phys.Rev. D70 (2004) 124017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages 3 figures

Scientific paper

10.1103/PhysRevD.70.124017

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.

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