Nonlinear r-Modes in Neutron Stars: Instability of an unstable mode

Details Nonlinear r-Modes in Neutron Stars: Instability of an unstable mode Nonlinear r-Modes in Neutron Stars: Instability of an unstable mode

2003-01-06

arxiv.org/abs/gr-qc/0301014v1

Phys.Rev.D66:041303R,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Published in Phys. Rev. D Rapid Comm. 66, 041303(R) (2002)

Scientific paper

10.1103/PhysRevD.66.041303

We study the dynamical evolution of a large amplitude r-mode by numerical simulations. R-modes in neutron stars are unstable growing modes, driven by gravitational radiation reaction. In these simulations, r-modes of amplitude unity or above are destroyed by a catastrophic decay: A large amplitude r-mode gradually leaks energy into other fluid modes, which in turn act nonlinearly with the r-mode, leading to the onset of the rapid decay. As a result the r-mode suddenly breaks down into a differentially rotating configuration. The catastrophic decay does not appear to be related to shock waves at the star's surface. The limit it imposes on the r-mode amplitude is significantly smaller than that suggested by previous fully nonlinear numerical simulations.

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