Abstract
A numerical study of nonlinear r-modes in isentropic, rapidly rotating relativistic stars, via 3-D general-relativistic hydrodynamical evolutions, is presented. On dynamical timescales, we find no evidence for strong coupling of r-modes to other modes at amplitudes of order one or larger. Therefore, unless nonlinear saturation sets in on longer timescales, the maximum r-mode amplitude is of order one. An absolute upper limit on the amplitude is set by causality. Our simulations also show that r-modes and inertial modes in isentropic stars are discrete modes, with no evidence for the existence of a continuous part in the spectrum.
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© 2001 Springer Science+Business Media Dordrecht
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Font, J.A., Stergioulas, N. (2001). Nonlinear Evolution of R-Modes in Rotating Relativistic Stars. In: Zamorano, J., Gorgas, J., Gallego, J. (eds) Highlights of Spanish Astrophysics II. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1776-2_43
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DOI: https://doi.org/10.1007/978-94-017-1776-2_43
Publisher Name: Springer, Dordrecht
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