Nonlinear coupling network to simulate the development of the r-mode instability in neutron stars. I. Construction

Jeandrew Brink, Saul A. Teukolsky, and Ira Wasserman

Phys. Rev. D 70, 124017 – Published 15 December 2004

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.

Received 15 September 2004

DOI:https://doi.org/10.1103/PhysRevD.70.124017

Authors & Affiliations

Jeandrew Brink, Saul A. Teukolsky, and Ira Wasserman

Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853, USA

Nonlinear coupling network to simulate the development of the $r$ mode instability in neutron stars. II. Dynamics

Jeandrew Brink, Saul A Teukolsky, and Ira Wasserman

Phys. Rev. D 71, 064029 (2005)

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Vol. 70, Iss. 12 — 15 December 2004

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Physical Review D

covering particles, fields, gravitation, and cosmology