Nonlinear mode coupling in rotating stars and the<i>r</i>-mode instability in neutron stars
Nonlinear mode coupling in rotating stars and the<i>r</i>-mode instability in neutron stars
We develop the formalism required to study the nonlinear interaction of modes in rotating Newtonian stars, assuming that the mode amplitudes are only mildly nonlinear. The formalism is simpler than previous treatments of mode-mode interactions for spherical stars, and simplifies and corrects previous treatments for rotating stars. At linear order, …