Frequencies of nonaxisymmetric f-modes in rapidly rotating polytropes in full general relativity
Document Type
Conference Proceeding
Publication Date
1-1-2012
Abstract
The computation of frequencies of nonaxisymmetric f-modes in rapidly rotating stars in full general relativity is a long-standing problem that has not been solved, to date, without resorting to some approximation, such as the slow-rotation approximation or the Cowling approximation. We present the first computation of such frequencies in full general relativity and rapid rotation, without any such approximation. We achieve this by using long-term simulations of oscillating polytropic models with a nonlinear numerical code, where spacetime is evolved in the harmonic formulation. We compare our results to previous results for zero-frequency (neutral modes) that were obtained with a perturbative method, and comment on the relevance of our work to the gravitational- radiation-driven (CFS) secular instability of nonaxisymmetric f-modes. Copyright © 2012 by World Scientific Publishing Co. Pte. Ltd.
Publication Source (Journal or Book title)
12th Marcel Grossmann Meeting on Recent Dev in Theoretical and Experimental General Relativity Astrophysics and Relativistic Field Theories Proc of the mg 2009 Meeting on General Relativity
First Page
807
Last Page
809
Recommended Citation
Zink, B., Stergioulas, N., Korobkin, O., Schnetter, E., Diener, P., & Tiglio, M. (2012). Frequencies of nonaxisymmetric f-modes in rapidly rotating polytropes in full general relativity. 12th Marcel Grossmann Meeting on Recent Dev in Theoretical and Experimental General Relativity Astrophysics and Relativistic Field Theories Proc of the mg 2009 Meeting on General Relativity, 807-809. https://doi.org/10.1142/9789814374552_0063